Question 1

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    D

Question 2

If 80% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?

Accepted Answer

A)  . 51 
B)  . 64 
C)  . 80 
D)  .0 1 
A)  . 51 
B)  . 64 
C)  . 80 
D)  .0 1 A

Question 3

The distribution of bachelor degrees conferred by a local college is listed below, by major.  
What is the probability that a randomly selected degree is not in Mathematics?

Accepted Answer

A)  0.682 
B)  0.232 
C)  0.768 
D)  0.303 
A)  0.682 
B)  0.232 
C)  0.768 
D)  0.303 C

Question 4

Two groups of people were asked their preference in television programs from among three new programs. The results are shown in the table below. What is the probability that a person selected at random will be from group A or prefer program X?

Accepted Answer

The answer of Two groups of people were asked their...

Question 5

Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

Accepted Answer

A)  $60,000 
B)  $300,000 
C)  $360,000 
D)  $218,400 
A)  $60,000 
B)  $300,000 
C)  $360,000 
D)  $218,400

Question 6

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability:
-Three coins are tossed, and the number of heads is noted.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

A lottery game contains 28 balls numbered 1 through 28. What is the probability of choosing a ball numbered 28, P(28)?

Accepted Answer

A)  P(28) =   
B)  P(28) = 28 
C)  P(28) = 1 
D)  P(28) = 0 
A)  P(28) =   
B)  P(28) = 28 
C)  P(28) = 1 
D)  P(28) = 0

Question 8

Each person in a group of students was identified by his or her hair color and then asked whether he or she preferred taking classes in the morning, afternoon, or evening. The results are shown in the table below. Find the probability that a student preferred morning classes given that he or she has blonde hair.

Accepted Answer

The answer of Each person in a group of students...

Question 9

A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an even number?

Accepted Answer

A)    
B)    
C)    
D)  7  
A)    
B)    
C)    
D)  7

Question 10

Use Bayes' rule to find the indicated probability:
-An water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R) = 0.53. The clay probability is P(C) = 0.21. The sand probability is P(S) = 0.26. It if it rock, a geological test gives a positive result with 35% accuracy. If it is clay, this test gives a positive result with 48% accuracy. The test gives a 75% accuracy for sand. Given the test is positive, what is the probability that soil is rock, P(rock | positive)?

Accepted Answer

Question 11

People were given three choices of soft drinks and asked to choose one favorite. The following table shows the results.   P(person is over 40 $\cap$ person drinks diet cola)?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

Accepted Answer

A)  $239,400 
B)  $300,000 
C)  $270,000 
D)  $180,000 
A)  $239,400 
B)  $300,000 
C)  $270,000 
D)  $180,000

Question 13

The graduates at a southern university are shown in the table.
   
A student is selected at random from the graduating class.
-Find the probability that the student is female, given that the student is receiving an education degree, P(F|E).

Accepted Answer

Question 14

Use Bayes' rule to find the indicated probability:
-In Cumberland County, 55% of registered voters are Democrats, 30% are Republicans and 15% are independent. During a recent election, 35% of the Democrats voted, 65% of the Republicans voted, and 75% of the independent voted. What is the probability that someone who voted is a Republican?

Accepted Answer

A)  0.225 
B)  0.39 
C)  0.065 
D)  0.385 
A)  0.225 
B)  0.39 
C)  0.065 
D)  0.385

Question 15

Use the tree diagram to find the requested probability:
-Find P(X$\mid$A). Give your answer as a decimal and round your answer to three decimal places if necessary.   a = 0.9, b = 0.1, c = 0.8, d = 0.2, e = 0.6, f = 0.4

Accepted Answer

A)  0.923 
B)  0.514 
C)  0.8 
D)  0.72 
A)  0.923 
B)  0.514 
C)  0.8 
D)  0.72

Question 16

Refer to the table below for events in a sample space, S, compute P(C|E).

Accepted Answer

The answer of Refer to the table below for events...

Question 17

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability:
-Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

The payoff table for three possible courses of action   ,   , and   is given below.
   
Which course of action will produce the largest expected value? What is it?

Accepted Answer

The answer of The payoff table for three possible courses...

Question 19

The graduates at a southern university are shown in the table.
   
A student is selected at random from the graduating class.
-Find the probability that the student is male, P(M).

Accepted Answer

A)  P(M) =   
B)  P(M) =   
C)  P(M) =   
D)  P(M) =   
A)  P(M) =   
B)  P(M) =   
C)  P(M) =   
D)  P(M) =

Question 20

Find the probability:
-A single fair die is rolled. The number on the die is a 3 or a 5.

Accepted Answer

A)    
B)    
C)    
D)  2  
A)    
B)    
C)    
D)  2

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

If 80% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?

The distribution of bachelor degrees conferred by a local college is listed below, by major. What is the probability that a randomly selected degree is not in Mathematics?

Two groups of people were asked their preference in television programs from among three new programs. The results are shown in the table below. What is the probability that a person selected at random will be from group A or prefer program X?

Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability: -Three coins are tossed, and the number of heads is noted.

A lottery game contains 28 balls numbered 1 through 28. What is the probability of choosing a ball numbered 28, P(28)?

A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an even number?

The graduates at a southern university are shown in the table. A student is selected at random from the graduating class. -Find the probability that the student is female, given that the student is receiving an education degree, P(F|E).

Refer to the table below for events in a sample space, S, compute P(C|E).

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability: -Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.

The payoff table for three possible courses of action , , and is given below. Which course of action will produce the largest expected value? What is it?

The graduates at a southern university are shown in the table. A student is selected at random from the graduating class. -Find the probability that the student is male, P(M).

Find the probability: -A single fair die is rolled. The number on the die is a 3 or a 5.

Linear Equations and Graphs

Functions and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters

Exam 8: Probability

Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

If 80% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?

The distribution of bachelor degrees conferred by a local college is listed below, by major. What is the probability that a randomly selected degree is not in Mathematics?

Two groups of people were asked their preference in television programs from among three new programs. The results are shown in the table below. What is the probability that a person selected at random will be from group A or prefer program X?

Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability: -Three coins are tossed, and the number of heads is noted.

A lottery game contains 28 balls numbered 1 through 28. What is the probability of choosing a ball numbered 28, P(28)?

A bag contains 15 balls numbered 1 through 15. What is the probability of selecting a ball that has an even number?

People were given three choices of soft drinks and asked to choose one favorite. The following table shows the results. P(person is over 40 ∩\cap∩ person drinks diet cola)?

The graduates at a southern university are shown in the table. A student is selected at random from the graduating class. -Find the probability that the student is female, given that the student is receiving an education degree, P(F|E).

Use the tree diagram to find the requested probability: -Find P(X ∣\mid∣ A). Give your answer as a decimal and round your answer to three decimal places if necessary. a = 0.9, b = 0.1, c = 0.8, d = 0.2, e = 0.6, f = 0.4

Refer to the table below for events in a sample space, S, compute P(C|E).

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability: -Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.

The payoff table for three possible courses of action , , and is given below. Which course of action will produce the largest expected value? What is it?

The graduates at a southern university are shown in the table. A student is selected at random from the graduating class. -Find the probability that the student is male, P(M).

Find the probability: -A single fair die is rolled. The number on the die is a 3 or a 5.

Linear Equations and Graphs

Functions and Graphs

Mathematics of Finance

Systems of Linear Equations; Matrices

Linear Inequalities and Linear Programming

Linear Programming: The Simplex Method

Logic, Sets, and Counting

Markov Chains

Data Description and Probability Distributions

Games and Decisions

Appendix A: Basic Algebra Review

Appendix B: Special Topics

Filters