4.2 HW

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. ​Drive-thru Restaurant A B C D Order Accurate 340 277 239 150 Order Not Accurate 38 60 37 14 If three different orders are​ selected, find the probability that they are all from Restaurant Upper D.

.0029

acc: 330 275 241 144 not: 34 56 36 18

.0146

principle redundancy

.082 .00672 .00055 ​Yes, because total malfunction would not be​ impossible, but it would be unlikely. Your answer is correct.

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. ​Drive-thru Restaurant A B C D Order Accurate 313 267 236 126 Order Not Accurate 32 60 33 14 The probability of getting an order from Restaurant C or an order that is not accurate is

.347 The events (are not) disjoint because it (is) possible to (receive an inaccurate order from Restaurant C.)

accurate: 335 267 240 123 not accurate: 33 51 31 10 the probability food that is not from Restaurant A is

.662

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. ​Drive-thru Restaurant A B C D Order Accurate 333 277 237 135 Order Not Accurate 35 59 38 12 The probability of getting an order from Restaurant A or an order that is accurate is

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

a certain group of women has a 0.84% rate of r4ed/green color blindness. if a women randomly selected, what is the probability that she does not have red-green color blindness?

.9916

certain women .84% red/green

.9916

A certain group of women has a 0.26 ​% rate of​ red/green color blindness. If a woman is randomly​ selected, what is the probability that she does not have​ red/green color​ blindness? What is the probability that the woman selected does not have​ red/green color​ blindness?

.9974

When randomly selecting an​ adult, A denotes the event of selecting someone with blue eyes. What do P ( A) and Upper P( A ) *different looking parenthesis * represent?

P(A) represents the probability of selecting an adult with blue eyes P(A) *diff parenthesis* represents the probability of selecting an adult who does not have blue eyes.

What does​ P(B|A) represent?

The probability of event B occurring after it is assumed that event A has already occurred

Use the following results from a test for marijuana​ use, which is provided by a certain drug testing company. Among 149 subjects with positive test​ results, there are 29 false positive​ results; among 152 negative​ results, there are 4 false negative results. If one of the test subjects is randomly​ selected, find the probability that the subject tested negative or did not use marijuana

The probability that a randomly selected subject tested negative or did not use marijuana is . 601

A research center poll showed that 84% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this​ belief?

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is .16

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 17.8 ​% daily failure rate. Complete parts​ (a) through​ (d) below.

What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam? . 178 If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam? 0.03168 ​What is the probability of not being awakened if the student uses three independent alarm​ clocks? 0.00564 ​Yes, because total malfunction would not be​ impossible, but it would be unlikely.

Selections made with replacement are considered to be​ _______.

independent

Two events A and B are​ _______ if the occurrence of one does not affect the probability of the occurrence of the other.

independent

There are​ 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without​ replacement, are the selections independent or​ dependent? If the selections are​ dependent, can they be treated as independent for the purposes of​ calculations?

independent or dependent? The selections are​ dependent, because the selection is done without replacement. if dependent, can they be treated as independent for the purpose of calculations? Yes, because the sample size is less than​ 5% of the population.

use the data in the following table, which lists drive-thru accuracy at popular fast food chain. Order accurate: 327 263 237 120 not accurate: 37 54 31 20

probability of getting an order from restaurant C or an order that is not accurate is .348

accurate: 332 265 249 148 not accurate: 40 60 37 13

probability of getting food that is not from restaurant A .675

marijuana 140 subjects

selected tested neg or did not use .63

order accurate: 318 264 236 136 not accurate: 34 51 39 18

the probability of getting an order from restaurant A or an order that is accurate is .901

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. ​Drive-thru Restaurant A B C D Order Accurate 329 275 247 148 Order Not Accurate 30 56 36 13

the probability of getting food that is not from restaurant A .683

Use the following results from a test for marijuana​ use, which is provided by a certain drug testing company. Among 141 subjects with positive test​ results, there are 21 false positive results. Among 160 negative​ results, there are 4 false negative results

total number: 301 total did not use marijuana: 177 probability that a randomly selected subject did not use marijuana : .588

A picture of line segments branching out from one starting point illustrating the possible outcomes of a procedure is called a

tree diagram