Stat Ch 4 Quiz

Men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. Complete parts a through d below. If a father has the defective x chromosome and the mother has good XX​ chromosomes, what is the probability that a daughter will inherit the​ disease?

0

Men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. Complete parts a through d below. If a father has the defective x chromosome and the mother has good XX​ chromosomes, what is the probability that a son will inherit the​ disease?

0

Men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. Complete parts a through d below. If a mother has one defective x chromosome and one good X chromosome and the father has good XY​ chromosomes, what is the probability that a daughter will inherit the​ disease?

0

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. Find the probability of getting four girls and no boys.

0.0625

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting four girls and no boys. Find the probability of getting four girls and no boys.

0.0625

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. Find the probability of getting one girl and three boys (in any order).

0.25

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. Find the probability of getting two girls and two boys (in any order).

0.375

Men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. Complete parts a through d below. If a mother has one defective x chromosome and one good X chromosome and the father has good XY​ chromosomes, what is the probability that a son will inherit the​ disease?

0.5

In a clinical trial of 2004 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1611 subjects given a​ placebo, 24 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the odds ratio for the headache data.

0.734

In a clinical trial of 2004 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1611 subjects given a​ placebo, 24 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk ratio for the headache data.

0.737

In a clinical trial of 2097 subjects treated with a certain​ drug, 24 reported headaches. In a control group of 1680 subjects given a​ placebo, 26 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the odds ratio for the headache data.

0.737

In a clinical trial of 2097 subjects treated with a certain​ drug, 24 reported headaches. In a control group of 1680 subjects given a​ placebo, 26 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk for the headache data.

0.739

In a clinical trial of 2045 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1718 subjects given a​ placebo, 23 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the odds ratio for the headache data.

0.801

In a clinical trial of 2045 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1718 subjects given a​ placebo, 23 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk for the headache data.

0.804

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.91 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ parallel, what is the probability that a voltage surge will not damage the​ television?

0.8281

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.92 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ parallel, what is the probability that a voltage surge will not damage the​ television?

0.8464

In a clinical trial of 2135 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1664 subjects given a​ placebo, 20 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the odds ratio for the headache data

0.856

In a clinical trial of 2135 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1664 subjects given a​ placebo, 20 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk for the headache data.

0.857

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.95 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ parallel, what is the probability that a voltage surge will not damage the​ television?

0.9025

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 332 263 244 134 Order Not Accurate: 40 59 36 13 If one order is​ selected, find the probability of getting an order from Restaurant A or an order that is accurate.

0.904

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 331 263 236 139 Order Not Accurate: 31 51 33 16 If one order is​ selected, find the probability of getting an order from Restaurant A or an order that is accurate.

0.909

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 318 269 247 144 Order Not Accurate: 37 56 34 10 If one order is​ selected, find the probability of getting an order from Restaurant A or an order that is accurate.

0.910

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 314 261 239 150 Order Not Accurate: 39 51 34 13 If one order is​ selected, find the probability of getting an order from Restaurant A or an order that is accurate.

0.911

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.91 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ series, what is the probability that a voltage surge will not damage the​ television?

0.9919

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.92 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ series, what is the probability that a voltage surge will not damage the​ television?

0.9936

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.95 probability of working correctly when a voltage surge occurs. If the two surge protectors are arranged in​ series, what is the probability that a voltage surge will not damage the​ television?

0.9975

In a small private​ school, 5 students are randomly selected from 19 available students. What is the probability that they are the five youngest​ students?

1 / 11628

In a small private​ school, 6 students are randomly selected from 18 available students. What is the probability that they are the six youngest​ students?

1 / 18564

In a small private​ school, 3 students are randomly selected from 14 available students. What is the probability that they are the three youngest​ students?

1 / 364

In a small private​ school, 5 students are randomly selected from 11 available students. What is the probability that they are the five youngest​ students?

1 / 462

How many ways can you make change for a​ quarter? (Different arrangements of the same coins are not counted​ separately.)

12

A combination lock uses three numbers between 1 and 55 with​ repetition, and they must be selected in the correct sequence. Is the name of​ "combination lock"​ appropriate? Why or why​ not?

No, because the multiplication counting rule would be used to determine the total number of combinations.

In a clinical trial of 2004 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1611 subjects given a​ placebo, 24 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. What do the results suggest about the risk of a headache from the drug​ treatment?

The drug does not appear to pose a risk of headaches because pt is slightly less than pc.

In a clinical trial of 2045 subjects treated with a certain​ drug, 22 reported headaches. In a control group of 1718 subjects given a​ placebo, 23 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. What do the results suggest about the risk of a headache from the drug​ treatment?

The drug does not appear to pose a risk of headaches because pt is slightly less than pc.

In a clinical trial of 2097 subjects treated with a certain​ drug, 24 reported headaches. In a control group of 1680 subjects given a​ placebo, 26 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control​ (placebo) group by pc​, the relative risk is pt​/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds​ ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control​ (placebo) group, found by evaluating [pt / (1 - pt)] / [pc / (1 - pc)]. The relative risk and odds ratios are commonly used in medicine and epidemiological studies. What do the results suggest about the risk of a headache from the drug​ treatment?

The drug does not appear to pose a risk of headaches because pt is slightly less than pc.

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 314 261 239 150 Order Not Accurate: 39 51 34 13 Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint​ events?

The events are not disjoint because it is possible to receive an accurate order from Restaurant A

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 331 263 236 139 Order Not Accurate: 31 51 33 16 Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint​ events?

The events are not disjoint because it is possible to receive an accurate order from Restaurant A

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 332 263 244 134 Order Not Accurate: 40 59 36 13 Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint​ events?

The events are not disjoint because it is possible to receive an accurate order from Restaurant A

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 318 269 247 144 Order Not Accurate: 37 56 34 10 Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint​ events?

The events are not disjoint because it is possible to receive an accurate order from restaurant A

Assume that 1200 births are randomly selected and 26 of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.

The number of girls is significantly low.

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 311 261 247 120 Order Not Accurate: 31 57 36 18 If two orders are​ selected, find the probability that they are both accurate. Assume that the selections are made without replacement. Are the events​ independent?

The probability is 0.7544. The events are not independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 311 261 247 120 Order Not Accurate: 31 57 36 18 If two orders are​ selected, find the probability that they are both accurate. Assume that the selections are made with replacement. Are the events​ independent?

The probability is 0.7545. The events are independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 322 263 240 136 Order Not Accurate: 33 60 37 15 If two orders are​ selected, find the probability that they are both accurate Assume that the selections are made without replacement. Are the events​ independent?

The probability is 0.7549. The events are not independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 322 263 240 136 Order Not Accurate: 33 60 37 15 If two orders are​ selected, find the probability that they are both accurate Assume that the selections are made with replacement. Are the events​ independent?

The probability is 0.7550. The events are independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 324 272 240 147 Order Not Accurate: 31 51 35 19 Assume that the selections are made without replacement. Are the events​ independent?

The probability is 0.7716. The events are not independent.

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 324 272 240 147 Order Not Accurate: 31 51 35 19 Assume that the selections are made with replacement. Are the events​ independent?

The probability is 0.7717. The events are independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 322 280 243 146 Order Not Accurate: 35 54 30 15 If two orders are​ selected, find the probability that they are both accurate. Assume that the selections are made without replacement. Are the events​ independent?

The probability is 0.7759. The events are not independent

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Restaurant A Restaurant B Restaurant C Restaurant D Order Accurate: 322 280 243 146 Order Not Accurate: 35 54 30 15 If two orders are​ selected, find the probability that they are both accurate. Assume that the selections are made with replacement. Are the events​ independent?

The probability is 0.7760. The events are independent.

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.91 probability of working correctly when a voltage surge occurs. Which arrangement should be used for better​ protection?

The series arrangement provides better protection because it has a higher probability of protection.

Refer to the figure below in which surge protectors p and q are used to protect an expensive​ high-definition television. If there is a surge in the​ voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.92 probability of working correctly when a voltage surge occurs. Which arrangement should be used for better​ protection?

The series arrangement provides better protection because it has a higher probability of protection.

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. Identify the sample space for a couple having four children.

bbbb, bbbg, bbgb, bbgg, bgbb, bgbg, bggb, bggg, gbbb, gbbg, gbgb, gbgg, ggbb, ggbg, gggb, gggg

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting four girls and no boys. Identify the sample space for a couple having four children.

bbbb, bbbg, bbgb, bbgg, bgbb, bgbg, bggb, bggg, gbbb, gbbg, gbgb, gbgg, ggbb, ggbg, gggb, gggg

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children.

bbgb, bbgg, bgbb, bgbg, bggb, bggg, gbbb, gbbg, gbgb, gbgg, ggbb, ggbg, gggb, gggg, bbbb, bbbg, bbgb, bbgg, bgbb, bgbg, bggb, bggg, gbbb, gbbg, gbgb, gbgg, ggbb, ggbg, gggb, gggg​

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. Identify the sample space for a couple having four children.

gggg, bggg, gbgg, ggbg, gggb, bbgg, bgbg, bggb, gbbg, gbgb, ggbb, bbbg, bbgb, bgbb, gbbb, bbbb, gggg, bggg, gbgg, ggbg, gggb, bbgg, bgbg, bggb,gbbg, gbgb, ggbb, bbbg, bbgb, bgbb, gbbb, bbbb​