Question 1

Determine whether the events are mutually exclusive.
-The probability that Luis will pass his statistics test is 0.42. Find the probability that he will fail his statistics test.

Accepted Answer

A) 2.38 
B) 0.72 
C) 0.21 
D) 0.58 
A) 2.38 
B) 0.72 
C) 0.21 
D) 0.58 D

Question 2

Estimate the probability of the event
-Assume that one student in your class of 31 students is randomly selected to win a prize. Would it be "unusual" for you to win?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes B

Question 3

Solve the problem.
-In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

Accepted Answer

A)  $\frac { 1 } { 120 }$ 
B)  $\frac { 1 } { 45,239,040 }$ 
C)  $\frac { 120 } { 45,239,040 }$ 
D)  $\frac { 1 } { 36 ! }$ 
A)  $\frac { 1 } { 120 }$ 
B)  $\frac { 1 } { 45,239,040 }$ 
C)  $\frac { 120 } { 45,239,040 }$ 
D)  $\frac { 1 } { 36 ! }$ B

Question 4

Determine whether the events are mutually exclusive
-Draw one ball colored red from a bag. Draw one ball colored blue from the same bag.

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 5

Solve the problem.
-How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?

Accepted Answer

A) 2520 
B) 16,807 
C) 120 
D) 119 
A) 2520 
B) 16,807 
C) 120 
D) 119

Question 6

Find the indicated probability
-A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 3 } { 10 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 3 } { 10 }$

Question 7

Find the indicated probability
-If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.

Accepted Answer

A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 1 } { 31 }$ 
C)  $\frac { 1 } { 365 }$ 
D)  $\frac { 31 } { 365 }$ 
A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 1 } { 31 }$ 
C)  $\frac { 1 } { 365 }$ 
D)  $\frac { 31 } { 365 }$

Question 8

Determine whether the events are mutually exclusive.
-Get stung by a bee. Get stung by a wasp.

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 9

Find the indicated probability
-Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?

Accepted Answer

A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $\frac { 5 } { 6 }$ 
D)  4 
A)  $\frac { 8 } { 9 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $\frac { 5 } { 6 }$ 
D)  4

Question 10

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$
If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that the over 40

Accepted Answer

A)  $\frac { 6 } { 17 }$ 
B)  $\frac { 2 } { 17 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  None of the above is correct. 
A)  $\frac { 6 } { 17 }$ 
B)  $\frac { 2 } { 17 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  None of the above is correct.

Question 11

Provide an appropriate response.
-If a game were "fair," the payoff on a bet would be the same as the odds for the event. In one game, the odds for winning are 1:13. If the game were "fair," what would the payoff be for a $5 bet? Of course, games in casinos are designed to make a profit for the casino investors. Supposing the casino makes the payoff at 1:11 odds, what profit does the casino make on your winning bet?

Accepted Answer

In a "fair" game the payoff wo

Question 12

Find the indicated probability
-Assume that a study of 300 randomly selected school bus routes showed that 272 arrived on time. Is it "unusual" for a school bus to arrive late?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 13

Find the indicated probability
-A multiple choice question has 16 possible answers, only one of which is correct. Is it "unusual" to answer a question correctly if a random guess is made?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 14

Evaluate the expression.
-$5 ^ { P ^ { P _ { 4 } } }$

Accepted Answer

A)  0 
B)  1 
C)  15 
D)  120 
A)  0 
B)  1 
C)  15 
D)  120

Question 15

Solve the problem.
-There are 7 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

Accepted Answer

A) 5040 
B) 35 
C) 343 
D) 210 
A) 5040 
B) 35 
C) 343 
D) 210

Question 16

Determine whether the events are mutually exclusive.
-A study of consumer smoking habits includes 169 people in the 18-22 age bracket (46 of whom smoke), 126 people in the 23-30 age bracket (38 of whom smoke), and 100 people in the 31-40 age bracket (22 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes.

Accepted Answer

A) 0.302 
B) 0.587 
C) 0.096 
D) 0.491 
A) 0.302 
B) 0.587 
C) 0.096 
D) 0.491

Question 17

Estimate the probability of the event
-A polling firm, hired to estimate the likelihood of the passage of an up-coming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is: 0 = FOR, 1 = AGAINST. If the referendum were held today, estimate the probability that it would pass. 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0

Accepted Answer

A) 0.65 
B) 0.6 
C) 0.4 
D) 0.5 
A) 0.65 
B) 0.6 
C) 0.4 
D) 0.5

Question 18

Provide an appropriate response.
-Under what circumstances can you sample without replacement and still use the multiplication rule for independence? Discuss population and sample size as you answer this question.

Accepted Answer

The sample size must

Question 19

Determine whether the events are mutually exclusive.
-A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9).

Accepted Answer

A)  7 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 2 }$ 
D)  $\frac { 7 } { 26 }$ 
A)  7 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 2 }$ 
D)  $\frac { 7 } { 26 }$

Question 20

Find the indicated probability
-In one town, 53% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

Accepted Answer

A) 0.281 
B) 0.276 
C) 0.530 
D) 1.060 
A) 0.281 
B) 0.276 
C) 0.530 
D) 1.060

Determine whether the events are mutually exclusive. -The probability that Luis will pass his statistics test is 0.42. Find the probability that he will fail his statistics test.

Estimate the probability of the event -Assume that one student in your class of 31 students is randomly selected to win a prize. Would it be "unusual" for you to win?

Solve the problem. -In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

Determine whether the events are mutually exclusive -Draw one ball colored red from a bag. Draw one ball colored blue from the same bag.

Solve the problem. -How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?

Find the indicated probability -A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

Find the indicated probability -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.

Determine whether the events are mutually exclusive. -Get stung by a bee. Get stung by a wasp.

Find the indicated probability -Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?

Find the indicated probability -Assume that a study of 300 randomly selected school bus routes showed that 272 arrived on time. Is it "unusual" for a school bus to arrive late?

Find the indicated probability -A multiple choice question has 16 possible answers, only one of which is correct. Is it "unusual" to answer a question correctly if a random guess is made?

Evaluate the expression. - $5 ^ { P ^ { P _ { 4 } } }$

Solve the problem. -There are 7 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

Provide an appropriate response. -Under what circumstances can you sample without replacement and still use the multiplication rule for independence? Discuss population and sample size as you answer this question.

Determine whether the events are mutually exclusive. -A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9).

Find the indicated probability -In one town, 53% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 4: Probability

Determine whether the events are mutually exclusive. -The probability that Luis will pass his statistics test is 0.42. Find the probability that he will fail his statistics test.

Estimate the probability of the event -Assume that one student in your class of 31 students is randomly selected to win a prize. Would it be "unusual" for you to win?

Solve the problem. -In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?

Determine whether the events are mutually exclusive -Draw one ball colored red from a bag. Draw one ball colored blue from the same bag.

Solve the problem. -How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?

Find the indicated probability -A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

Find the indicated probability -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.

Determine whether the events are mutually exclusive. -Get stung by a bee. Get stung by a wasp.

Find the indicated probability -Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?

Find the indicated probability -Assume that a study of 300 randomly selected school bus routes showed that 272 arrived on time. Is it "unusual" for a school bus to arrive late?

Find the indicated probability -A multiple choice question has 16 possible answers, only one of which is correct. Is it "unusual" to answer a question correctly if a random guess is made?

Evaluate the expression. - 5PP45 ^ { P ^ { P _ { 4 } } }5PP4​

Solve the problem. -There are 7 members on a board of directors. If they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible?

Provide an appropriate response. -Under what circumstances can you sample without replacement and still use the multiplication rule for independence? Discuss population and sample size as you answer this question.

Determine whether the events are mutually exclusive. -A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9).

Find the indicated probability -In one town, 53% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Evaluate the expression. - $5 ^ { P ^ { P _ { 4 } } }$