MAT145 Final Review

$0.16

A bag contains 2 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1. What is your Expected Value if you play this game?

0.5

A die is rolled. Find the probability of the given event. Write your answers as a decimal rounded to the nearest tenth. The number showing is an even number P(even) =

1/3

A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fraction The number showing is greater than 4 P(greater than 4) =

5/14

A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as reduced fractions. The marble is blue and even-numbered. Your answer is :

9/14

A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as reduced fractions. The marble is red or odd-numbered. Your answer is :

2/7

A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as reduced fractions. The marble is red. Your answer is :

0.192

A math class consists of 13 female students and 16 male students. Two students are selected at random to participate in a probability experiment. Compute the following probabilities. Write your answers in decimal form. Round to the nearest thousandth as needed Two females are selected.

0.296

A math class consists of 13 female students and 16 male students. Two students are selected at random to participate in a probability experiment. Compute the following probabilities. Write your answers in decimal form. Round to the nearest thousandth as needed Two males are selected.

0.17

A die is rolled. Find the probability of the given event. Write your answers as a decimal rounded to the nearest hundredth. The number showing is a 3 P(3) =

0.145

There are eight female board members and twenty-two male board members. Determine the probability of selecting a committee of six board members where exactly three of the members were female. Write your answer as a decimal, rounded to the nearest thousandth. Answer:

86,240

There are eight female board members and twenty-two male board members. How many ways are there to make a committee of six board members if exactly three must be female? ____________________ways

593,775

There are eight female board members and twenty-two male board members. How many ways are there to make a committee of six board members? ____________________ways

77

Use the Empirical Rule to answer the following question. The mean is

3

Use the Empirical Rule to answer the following question. The standard deviation is

99.7

Use the Empirical Rule to answer the following question. _________________% of the test scores are between 68 and 86.

95

Use the Empirical Rule to answer the following question. _________________% of the test scores are between 71 and 83.

68

Use the Empirical Rule to answer the following question. _________________% of the test scores are between 74 and 80.

34

Use the Empirical Rule to answer the following question. _________________% of the test scores are between 77 and 80.

50

Use the Empirical Rule to answer the following question. _________________% of the test scores are less than 77.

84

Use the Empirical Rule to answer the following question. _________________% of the test scores are less than 80.

0.256

A math class consists of 13 female students and 16 male students. Two students are selected at random to participate in a probability experiment. Compute the following probabilities. Write your answers in decimal form. Round to the nearest thousandth as needed. A male is selected, then a female.

9 to 10

An American roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Simplify answers What are the odds against the ball landing in an even-numbered slot? __________ to _____________

10 to 9

An American roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. Simplify answers What are the odds for the ball landing in an even-numbered slot? __________ to _____________

1/9

Below is a list of all possible outcomes in the experiment of rolling two die. Determine the following probabilities. Write your answers as reduced fractions. PP(sum is 5) =

1/18

Below is a list of all possible outcomes in the experiment of rolling two die. Determine the following probabilities. Write your answers as reduced fractions. PP(sum is 7 and at least one of the die is a 1) =

5/12

Below is a list of all possible outcomes in the experiment of rolling two die. Determine the following probabilities. Write your answers as reduced fractions. PP(sum is 7 or at least one of the die is 1) =

1/6

Below is a list of all possible outcomes in the experiment of rolling two die. Determine the following probabilities. Write your answers as reduced fractions. PP(sum is 7) =

1/2

Below is a list of all possible outcomes in the experiment of rolling two die. Determine the following probabilities. Write your answers as reduced fractions. PP(sum is odd) =

310

Complete the following statements. If a sample consists of 500 test scores, _______________ of them would be at or above the 38th percentile.

50 tests

Complete the following statements. If a sample consists of 500 test scores, ___________________would be at or below the 10th percentile.

6

Complete the following statements. In general, _________________% of the values in a data set lie at or below the 6th percentile.

72

Complete the following statements. _________________ % of the values in a data set lie at or above the 28th percentile.

3,12,42.5,63,90

Find the 5 number summary for the data shown below. Five number summary: _____________, ____________, __________, ___________, _____________

51/80

Giving a test to a group of students, the grades and gender are summarized below If one student is chosen at random, find the probability that the student was female OR got an "A". Write your answer as a reduced fraction. P(female or "A") =

45/74

Giving a test to a group of students, the grades and gender are summarized below. If one student is chosen at random, find the probability that the student did NOT get an "A". Give your answer as a reduced fraction. P(student did NOT get an "A") =

2

IQ is normally distributed with a mean of 100 and a standard deviation of 15. In a sample of 500 people, how many people would have an IQ greater than 140? _____________ people

374

IQ is normally distributed with a mean of 100 and a standard deviation of 15. In a sample of 500 people, how many people would have an IQ less than 110? _____________ people

63.1

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P(IQ greater than 95) = _________%

95.2

IQ is normally distributed with a mean of 100 and a standard deviation of 15.. Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P(IQ less than 125) = ___________%

210

In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have If order does not matter?

5040

In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have If order matters?

4/13

Jenelle draws one card from a standard deck of 52 cards. Determine the probability of drawing either a ten or a heart? Write your answer as a reduced fraction. Answer =

2/13

Jenelle draws one card from a standard deck of 52 cards. Determine the probability of drawing either a ten or a two? Write your answer as a reduced fraction. Answer =

4/51

Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. Determine the probability that the second card is a 3. P(3∣8 of hearts) =

13/51

Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. Determine the probability that the second card is a club. P(club∣8 of hearts) =

1/17

Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. Determine the probability that the second card is another 8. P(8∣8 of hearts) =

4/17

Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. Determine the probability that the second card is another heart. P(heart∣8 of hearts)=

67,600,000

Standard automobile license plates in a country display 2 numbers, followed by 2 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.) There are ______________________ different standard plates possible in this system.

B

The boxplot below shows salaries for Construction workers and Teachers. Jennie makes the first quartile salary for a construction worker. Markos makes the third quartile salary for a teacher. Who makes more money? put A for Jennie or B for Markos

78.35, 81, 15.34

The grades for 20 students on the most recent exam are given in the data table below. Round your answers to 2 decimal places as needed mean= ______________ median= __________ Standard deviation = ______________

45.2

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6 days and standard deviation of 1.8 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. What is the probability of spending between 6 days and 9 days in recovery? ______________%

95.2

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6 days and standard deviation of 1.8 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. What is the probability of spending less than 9 days in recovery? ______________%

50 %

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6 days and standard deviation of 1.8 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. What is the probability of spending more than 6 days in recovery? ______________%

42.3

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 50 pounds, and a standard deviation of σ = 6 pounds. A dog has a z-score of -1.28. What is the dog's weight? Round your answer to the nearest tenth as needed.

57.7

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 50 pounds, and a standard deviation of σ = 6 pounds. A dog has a z-score of 1.28. What is the dog's weight? Round your answer to the nearest tenth as needed.

1

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 50 pounds, and a standard deviation of σ = 6 pounds. A dog of this breed weighs 56 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed.

32, 38, 44, 50, 56, 62, 68

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 50 pounds, and a standard deviation of σ = 6 pounds. Fill in the indicated boxes.