Question 1

Evaluate.
-

Accepted Answer

A)  2! 
B)  4 
C)  12 
D)    
A)  2! 
B)  4 
C)  12 
D)

Question 2

Find the indicated probability. Give your answer as a simplified fraction.
-A researcher at a large university wanted to investigate if a student's seat preference was related in any way to the gender of the student. The researcher divided the lecture room into three sections (1-front, middle of the room, 2-front, sides of the classroom, and 3-back of the classroom, both middle and sides) and noted where his students sat on a particular day of the class. The researcher's summary table is provided below. Suppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. Find the probability the person selected is a female.

Accepted Answer

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

Question 3

A box contains 25 widgets, 4 of which are defective. If 4 are sold at random, find the probability that (a) all are defective (b) none are defective.

Accepted Answer

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

Question 4

Find the indicated probability. Give your answer as a decimal rounded to the nearest thousandth.
-A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 68% regularly use the golf course, 44% regularly use the tennis courts, and 10% use neither of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.

Accepted Answer

A)  0.244 
B)  0.324 
C)  0.5 
D)  0.196 
A)  0.244 
B)  0.324 
C)  0.5 
D)  0.196

Question 5

Find the indicated probability.
-Suppose that M and N are two events, P(M) = 0. 12, P(N) = 0.0 5, and P(M and N) = 0.0 2. What is P(   N)?

Accepted Answer

A)  0.167 
B)  0.150 
C)  0.030 
D)  0.400 
A)  0.167 
B)  0.150 
C)  0.030 
D)  0.400

Question 6

In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Is this a probability model?

Accepted Answer

A) True 
 B)False

Question 7

The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. What is the probability of exactly two heads?

Accepted Answer

A)    
B)    
C)  3 
D)    
A)    
B)    
C)  3 
D)

Question 8

If P(A) = 0.72, P(B) = 0.11, and A and B are independent, find P(A|B).

Accepted Answer

A)  0.72 
B)  0.0792 
C)  0.11 
D)  0.83 
A)  0.72 
B)  0.0792 
C)  0.11 
D)  0.83

Question 9

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces.

Accepted Answer

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

Question 10

Evaluate.
-

Accepted Answer

A)  15 
B)  30 
C)  4 
D)  180 
A)  15 
B)  30 
C)  4 
D)  180

Question 11

A probability experiment is conducted in which the sample space of the experiment is   Let event   . Assume that each outcome is equally likely. List the outcomes in   . Find P(   ).

Accepted Answer

A)  { 3, 4, 5, 11, 12, 13};   
B)  { 3, 4, 5, 10, 11, 12, 13};   
C)  { 11, 12, 13};   
D)  { 6, 7, 8, 9, 10};   
A)  { 3, 4, 5, 11, 12, 13};   
B)  { 3, 4, 5, 10, 11, 12, 13};   
C)  { 11, 12, 13};   
D)  { 6, 7, 8, 9, 10};

Evaluate. -

A box contains 25 widgets, 4 of which are defective. If 4 are sold at random, find the probability that (a) all are defective (b) none are defective.

Find the indicated probability. -Suppose that M and N are two events, P(M) = 0. 12, P(N) = 0.0 5, and P(M and N) = 0.0 2. What is P( N)?

In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Is this a probability model?

The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. What is the probability of exactly two heads?

If P(A) = 0.72, P(B) = 0.11, and A and B are independent, find P(A|B).

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces.

Evaluate. -

A probability experiment is conducted in which the sample space of the experiment is Let event . Assume that each outcome is equally likely. List the outcomes in . Find P( ).

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters

Exam 5: Probability

Evaluate. -

A box contains 25 widgets, 4 of which are defective. If 4 are sold at random, find the probability that (a) all are defective (b) none are defective.

Find the indicated probability. -Suppose that M and N are two events, P(M) = 0. 12, P(N) = 0.0 5, and P(M and N) = 0.0 2. What is P( N)?

In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Is this a probability model?

The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. What is the probability of exactly two heads?

If P(A) = 0.72, P(B) = 0.11, and A and B are independent, find P(A|B).

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces.

Evaluate. -

A probability experiment is conducted in which the sample space of the experiment is Let event . Assume that each outcome is equally likely. List the outcomes in . Find P( ).

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters