Question 1

Evaluate the factorial: $10 \text { ! }$

Accepted Answer

A)  100 
B)   3,628,800 
C)  90 
D)  362,880 
A)  100 
B)   3,628,800 
C)  90 
D)  362,880

Question 2

If  P(A)=0.79 , find $P \left( A ^ { C } \right)$

Accepted Answer

A)   0.79 
B)   0.21 
C)   0.395 
D)   0.105 
A)   0.79 
B)   0.21 
C)   0.395 
D)   0.105

Question 3

What is the correct relationship between events A and B:
A: Karl is college graduate.
B: Karl is a high school graduate.

Accepted Answer

A) A and B are mutually exclusive. 
B) B is the complement of A. 
C) A and B are not mutually exclusive. 
D) If B is not true, A cannot be true. 
A) A and B are mutually exclusive. 
B) B is the complement of A. 
C) A and B are not mutually exclusive. 
D) If B is not true, A cannot be true.

Question 4

Let A and B be events with P(A) = 0.4, P(B) = 0.9, and P(A and B) = 0.32. Are A and B mutually exclusive?

Accepted Answer

A) True 
 B)False

Question 5

For the event described below, which of the following represents the complement of the event. A sample of 372 software DVDs was selected. Fewer than 41 of these were defective.

Accepted Answer

A) More than 41 DVDs were not defective. 
B) At most 41 DVDs were not defective. 
C) At least 41 DVDs were defective. 
D) Fewer than 41 DVDs were not defective. 
A) More than 41 DVDs were not defective. 
B) At most 41 DVDs were not defective. 
C) At least 41 DVDs were defective. 
D) Fewer than 41 DVDs were not defective.

Question 6

On a certain day, a cheese packaging facility packaged 560 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both major andminor flaws. The following table presents the results.
 $\begin{array} { c c c } 
\hline & \text { Minor Flaw } & \text { No Minor Flaw } \
\hline \text { Major Flaw } & 18 & 35 \
\text { No Major Flaw } & 59 & 448 \
\hline
\end{array}$
 Find the probability that randomly chosen cheese package has a minor flaw.

Accepted Answer

A) 0.172 
B) 0.138 
C) 0.095 
D) 0.105 
A) 0.172 
B) 0.138 
C) 0.095 
D) 0.105

Question 7

On a TV game show, a contestant is shown 9 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items?

Accepted Answer

A) 6 
B) 504 
C) 60,480 
D) 84 
A) 6 
B) 504 
C) 60,480 
D) 84

Question 8

Evaluate the combination: $7 { C _ { 3 } }$

Accepted Answer

A)  210 
B)  5040 
C)  35 
D)  21 
A)  210 
B)  5040 
C)  35 
D)  21

Question 9

Out of 829 items checked out of a public library, 282 were fiction books, 294 were non-fiction books, and 253 were videos (of any genre). What is the probability that a randomly-selected item was not a video?

Accepted Answer

A) 0.439 
B) 0.340 
C) 0.305 
D) 0.695 
A) 0.439 
B) 0.340 
C) 0.305 
D) 0.695

Question 10

What is the correct relationship between events A and B:
A: Laura participated in an out-of-town volleyball game at 11:00 AM last Friday.
B: Laura met with her academic advisor on campus at 11:00 AM last Friday.

Accepted Answer

A) A and B are mutually exclusive. 
B) A and B are complementary. 
C) A and B are not mutually exclusive. 
D) If B is true, A is true. 
A) A and B are mutually exclusive. 
B) A and B are complementary. 
C) A and B are not mutually exclusive. 
D) If B is true, A is true.

Question 11

If $P ( A^ C ) = 0.61$  find  P(A) .

Accepted Answer

A)   0.39 
B)   0.195 
C)   0.305 
D)   0.61 
A)   0.39 
B)   0.195 
C)   0.305 
D)   0.61

Question 12

At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entree, a side dish, and a dessert. There are 3 choices for the entree, 5 choices for the side dish, and 3 choices for dessert. How many different meal deals are possible?

Accepted Answer

A) 39 
B) 165 
C) 45 
D) 11 
A) 39 
B) 165 
C) 45 
D) 11

Question 13

Nanette must pass through three doors as she walks from her company's foyer to her office. Eachof these doors may be locked or unlocked.Let C be the event that at least two doors are unlocked. List the outcomes of C. [Let"L" designate "locked" and U" designate "unlocked".]

Accepted Answer

A) {UUU, LUU, ULU, UUL} 
B) {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU} 
C) {LLU, LUL, ULL, LUU, ULU, UUL} 
D) None of these. 
A) {UUU, LUU, ULU, UUL} 
B) {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU} 
C) {LLU, LUL, ULL, LUU, ULU, UUL} 
D) None of these.

Question 14

A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). Assuming the outcomes to be equally likely, find the probability (as a reduced fraction) that the second answer is either "B" or "C". [Hint: List all the outcomes of the sample space first.]

Accepted Answer

A)  $5 / 9$ 
B)  $1 / 3$ 
C)  $7 / 9$ 
D)  $2 / 3$ 
A)  $5 / 9$ 
B)  $1 / 3$ 
C)  $7 / 9$ 
D)  $2 / 3$

Question 15

Let  A  and  B  be events with  P(A)=0.8, P(B)=0.6 . Assume that  A  and  B  are independent. Find  P(A  and  B) .

Accepted Answer

A)   0.8 
B)   0.6 
C)   0.48 
D)   0.75 
A)   0.8 
B)   0.6 
C)   0.48 
D)   0.75

Question 16

If P(A) = 0.76, P(B) = 0.4, and P(A and B) = 0.27, find P(A or B).

Accepted Answer

A)   0.89 
B)   0.135 
C)   0.58 
D)   0.27 
A)   0.89 
B)   0.135 
C)   0.58 
D)   0.27

Question 17

If P(A) = 0.46, P(B) = 0.37, and P(A or B) = 0.61, are A and B mutually exclusive?

Accepted Answer

A) True 
 B)False

Question 18

On a certain day, a cheese packaging facility packaged 480 units of mozzarella cheese.
Some of these packages had major flaws, some had minor flaws, and some had both major and minor flaws. The following table presents the results.
 $$\begin{array} { c c c } 
\hline & \text { Minor Flaw } & \text { No Minor Flaw } \
\hline \text { Major Flaw } & 25 & 28 \
\text { No Major Flaw } & 51 & 376 \
\hline
\end{array}$$ Find the probability that randomly chosen cheese package has no major flaw.

Accepted Answer

A) 0.89 
B) 0.217 
C) 0.835 
D) 0.783 
A) 0.89 
B) 0.217 
C) 0.835 
D) 0.783

Question 19

A survey asked 33,347 homeowners how many pets they owned. The results were as followed
$\begin{array} { c c } 
\hline \text { Number of Pets } & \text { Number of Homeowners } \
\hline 0 & 5440 \
1 & 10,506 \
2 & 10,193 \
3 & 5751 \
4 \text { or more } & 1457 \
\hline \text { Total } & 33,347
\end{array}$
Assume this is a simple random sample of homeowners. Use the Empirical Method to estimate the probability that a homeowner has at least one pet

Accepted Answer

A) 0.837 
B) 0.195 
C) 0.163 
D) 0.805 
A) 0.837 
B) 0.195 
C) 0.163 
D) 0.805

Question 20

In a poll of 451 university students, 193 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana?

Accepted Answer

A) 0.428 
B) 0.748 
C) 0.572 
D) 0.252 
A) 0.428 
B) 0.748 
C) 0.572 
D) 0.252

Evaluate the factorial: $10 \text { ! }$

If P(A)=0.79 , find $P \left( A ^ { C } \right)$

What is the correct relationship between events A and B: A: Karl is college graduate. B: Karl is a high school graduate.

Let A and B be events with P(A) = 0.4, P(B) = 0.9, and P(A and B) = 0.32. Are A and B mutually exclusive?

For the event described below, which of the following represents the complement of the event. A sample of 372 software DVDs was selected. Fewer than 41 of these were defective.

On a TV game show, a contestant is shown 9 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items?

Evaluate the combination: $7 { C _ { 3 } }$

Out of 829 items checked out of a public library, 282 were fiction books, 294 were non-fiction books, and 253 were videos (of any genre). What is the probability that a randomly-selected item was not a video?

What is the correct relationship between events A and B: A: Laura participated in an out-of-town volleyball game at 11:00 AM last Friday. B: Laura met with her academic advisor on campus at 11:00 AM last Friday.

If $P ( A^ C ) = 0.61$ find P(A) .

At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entree, a side dish, and a dessert. There are 3 choices for the entree, 5 choices for the side dish, and 3 choices for dessert. How many different meal deals are possible?

Nanette must pass through three doors as she walks from her company's foyer to her office. Eachof these doors may be locked or unlocked.Let C be the event that at least two doors are unlocked. List the outcomes of C. [Let"L" designate "locked" and U" designate "unlocked".]

Let A and B be events with P(A)=0.8, P(B)=0.6 . Assume that A and B are independent. Find P(A and B) .

If P(A) = 0.76, P(B) = 0.4, and P(A and B) = 0.27, find P(A or B).

If P(A) = 0.46, P(B) = 0.37, and P(A or B) = 0.61, are A and B mutually exclusive?

In a poll of 451 university students, 193 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana?

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Probability

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Inferences on Two Samples

Tests With Qualitative Data

Correlation and Regression

Statistical Analysis Questions in ANOVA and Rank-Sum Test

Filters

Exam 5: Discrete Probability Distributions

Evaluate the factorial: 10 ! 10 \text { ! }10 !

If P(A)=0.79 , find P(AC)P \left( A ^ { C } \right)P(AC)

What is the correct relationship between events A and B: A: Karl is college graduate. B: Karl is a high school graduate.

Let A and B be events with P(A) = 0.4, P(B) = 0.9, and P(A and B) = 0.32. Are A and B mutually exclusive?

For the event described below, which of the following represents the complement of the event. A sample of 372 software DVDs was selected. Fewer than 41 of these were defective.

On a TV game show, a contestant is shown 9 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items?

Evaluate the combination: 7C37 { C _ { 3 } }7C3​

Out of 829 items checked out of a public library, 282 were fiction books, 294 were non-fiction books, and 253 were videos (of any genre). What is the probability that a randomly-selected item was not a video?

What is the correct relationship between events A and B: A: Laura participated in an out-of-town volleyball game at 11:00 AM last Friday. B: Laura met with her academic advisor on campus at 11:00 AM last Friday.

If P(AC)=0.61P ( A^ C ) = 0.61P(AC)=0.61 find P(A) .

At the campus cafeteria, a diner can purchase a "meal deal" that consists of an entree, a side dish, and a dessert. There are 3 choices for the entree, 5 choices for the side dish, and 3 choices for dessert. How many different meal deals are possible?

Nanette must pass through three doors as she walks from her company's foyer to her office. Eachof these doors may be locked or unlocked.Let C be the event that at least two doors are unlocked. List the outcomes of C. [Let"L" designate "locked" and U" designate "unlocked".]

Let A and B be events with P(A)=0.8, P(B)=0.6 . Assume that A and B are independent. Find P(A and B) .

If P(A) = 0.76, P(B) = 0.4, and P(A and B) = 0.27, find P(A or B).

If P(A) = 0.46, P(B) = 0.37, and P(A or B) = 0.61, are A and B mutually exclusive?

In a poll of 451 university students, 193 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana?

Basic Ideas

Graphical Summaries of Data

Numerical Summaries of Data

Probability

The Normal Distribution

Confidence Intervals

Hypothesis Testing

Inferences on Two Samples

Tests With Qualitative Data

Correlation and Regression

Statistical Analysis Questions in ANOVA and Rank-Sum Test

Filters

Evaluate the factorial: $10 \text { ! }$

If P(A)=0.79 , find $P \left( A ^ { C } \right)$

Evaluate the combination: $7 { C _ { 3 } }$

If $P ( A^ C ) = 0.61$ find P(A) .