Question 1

Which of the following statements is not true?

Accepted Answer

A)  If the probability of an event occurring is 0, then it is impossible for that event to occur… 
B)  If P(
A)  = 0, then the probability of the complement of A is 1. 
C)  If the probability of an event occurring is 1.5, then it is certain that event will occur. 
D)  Probability can never be a negative value. 
A)  If the probability of an event occurring is 0, then it is impossible for that event to occur… 
B)  If P(
A)  = 0, then the probability of the complement of A is 1. 
C)  If the probability of an event occurring is 1.5, then it is certain that event will occur. 
D)  Probability can never be a negative value.

Question 2

The probability of a randomly selected car crashing during a year is 0.0423 (based on data from the Statistical Abstract of the United States). If a family has three cars, find the
probability that at least one of them has a crash during the year. Is there any reason why
this probability might be wrong?

Accepted Answer

The probability that a family with 3 car

Question 3

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output. 0102200123202022123122203002121
Estimate the probability that sales will rise at least moderately.

Accepted Answer

A)  $0.613$ 
B)  $0.516$ 
C)  $0.512$ 
D)  $0.452$ 
A)  $0.613$ 
B)  $0.516$ 
C)  $0.512$ 
D)  $0.452$

Question 4

When 100 engines are shipped, all of them are free of defects. Select a written description of the complement of the given event.

Accepted Answer

A)  At least one of the engines is defective. 
B)  All of the engines are defective. 
C)  At most one of the engines is defective. 
D)  None of the engines are defective. 
A)  At least one of the engines is defective. 
B)  All of the engines are defective. 
C)  At most one of the engines is defective. 
D)  None of the engines are defective.

Question 5

Refer to the table which summarizes the results of testing for a certain disease $\begin{array}{l|cc} 
& \begin{array}{l}
\text { Positive } \
\text { Test Result }
\end{array} & \begin{array}{l}
\text { Negative } \
\text { Test Result }
\end{array} \
\hline \text { Subject has the disease } & 87 & 9 \
\text { Subject does not have the disease } & 27 & 312
\end{array}$

A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative?

Accepted Answer

A)  $0.094$ 
B)  $0.028$ 
C)  $0.972$ 
D)  $0.221$ 
A)  $0.094$ 
B)  $0.028$ 
C)  $0.972$ 
D)  $0.221$

Question 6

A 6-sided die is rolled. Find P(3  or 5).

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  2 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  2

Question 7

Determine whether the events are disjoint. Finding a ten dollar bill on the sidewalk. Finding a ten dollar bill on the grass.

Accepted Answer

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

Question 8

Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as significant if its probability is less than or equal to 0.05.

Accepted Answer

A)  Significant at 0.055 
B)  Not significant at 0.055 
C)  Significant at 0.028 
D)  Not significant at 0.945 
A)  Significant at 0.055 
B)  Not significant at 0.055 
C)  Significant at 0.028 
D)  Not significant at 0.945

Question 9

Discuss the range of possible values for probabilities. Give examples to support this

Accepted Answer

Probabilities range between 0 and @#LAT-DLM& means

Question 10

Evaluate the expression. ${ } _ { 10 } P _ { 3 }$

Accepted Answer

A)  120 
B)  27 
C)  7 
D)  720 
A)  120 
B)  27 
C)  7 
D)  720

Question 11

A multiple choice question has 18 possible answers, only one of which is correct. "significant" to answer a question correctly if a random guess is made? Consider an event to be "significant" if its probability is less than or equal to 0.05.

Accepted Answer

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

Question 12

In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary.

Accepted Answer

A)  0.19 
B)  0.061 
C)  0.66 
D)  2.64 
A)  0.19 
B)  0.061 
C)  0.66 
D)  2.64

Question 13

Given that the following statement is incorrect, rewrite it correctly: "The probability of being born a boy is 50-50."

Accepted Answer

The answer of Given that the following statement is incorrect,...

Question 14

In a certain class of students, there are 11 boys from Wilmette, 7 girls from Wilmette, 5 boys from Winnetka, 4 girls from Winnetka, 4 boys from Glencoe, and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will
Be a boy?

Accepted Answer

A)  0.71 
B)  0.429 
C)  0.571 
D)  0.314 
A)  0.71 
B)  0.429 
C)  0.571 
D)  0.314

Question 15

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results.
The probability of getting a total of 15 when four dice are thrown.

Accepted Answer

Answers may vary. Begin by representing

Question 16

Determine whether the events are disjoint. Read a book by Mark Twain. Read about Tom Sawyer.

Accepted Answer

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

Question 17

In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is
ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY
Department of Consumer Affairs). If four of the scales are randomly selected and tested,
what is the probability that the entire bath will be accepted? Is this scheme likely to detect
the large number of defects?

Accepted Answer

0.583. The scheme is not likel

Question 18

Discuss the advantages and disadvantages of odds

Accepted Answer

Mathematicians prefer probabil

Question 19

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 0 = OUT. The output from the simulation was as follows. $\begin{array} { l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l } 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 \end{array}$
Estimate the probability that he gets a hit.

Accepted Answer

A)  $0.286$ 
B)  $0.301$ 
C)  $0.476$ 
D)  $0.452$ 
A)  $0.286$ 
B)  $0.301$ 
C)  $0.476$ 
D)  $0.452$

Question 20

Select the correct interpretation of the probability of guessing the date of his birth, given that he told you in what month he was born. Interpret an event as significant if its probability is less than or equal to 0.05.

Accepted Answer

A)  Significant 
B)  Not significant 
A)  Significant 
B)  Not significant

Which of the following statements is not true?

When 100 engines are shipped, all of them are free of defects. Select a written description of the complement of the given event.

A 6-sided die is rolled. Find P(3 or 5).

Determine whether the events are disjoint. Finding a ten dollar bill on the sidewalk. Finding a ten dollar bill on the grass.

Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as significant if its probability is less than or equal to 0.05.

Discuss the range of possible values for probabilities. Give examples to support this

Evaluate the expression. ${ } _ { 10 } P _ { 3 }$

A multiple choice question has 18 possible answers, only one of which is correct. "significant" to answer a question correctly if a random guess is made? Consider an event to be "significant" if its probability is less than or equal to 0.05.

In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary.

Given that the following statement is incorrect, rewrite it correctly: "The probability of being born a boy is 50-50."

In a certain class of students, there are 11 boys from Wilmette, 7 girls from Wilmette, 5 boys from Winnetka, 4 girls from Winnetka, 4 boys from Glencoe, and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will Be a boy?

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results. The probability of getting a total of 15 when four dice are thrown.

Determine whether the events are disjoint. Read a book by Mark Twain. Read about Tom Sawyer.

Discuss the advantages and disadvantages of odds

Select the correct interpretation of the probability of guessing the date of his birth, given that he told you in what month he was born. Interpret an event as significant if its probability is less than or equal to 0.05.

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Discrete Probability Distributions

Normal Probability Distributions

Estimating Parameters and Determining Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

Exam 4: Probability

Which of the following statements is not true?

When 100 engines are shipped, all of them are free of defects. Select a written description of the complement of the given event.

A 6-sided die is rolled. Find P(3 or 5).

Determine whether the events are disjoint. Finding a ten dollar bill on the sidewalk. Finding a ten dollar bill on the grass.

Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as significant if its probability is less than or equal to 0.05.

Discuss the range of possible values for probabilities. Give examples to support this

Evaluate the expression. 10P3{ } _ { 10 } P _ { 3 }10​P3​

A multiple choice question has 18 possible answers, only one of which is correct. "significant" to answer a question correctly if a random guess is made? Consider an event to be "significant" if its probability is less than or equal to 0.05.

In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary.

Given that the following statement is incorrect, rewrite it correctly: "The probability of being born a boy is 50-50."

In a certain class of students, there are 11 boys from Wilmette, 7 girls from Wilmette, 5 boys from Winnetka, 4 girls from Winnetka, 4 boys from Glencoe, and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will Be a boy?

Use technology to develop a simulation of the given problem (100 trials). simulation, then estimate the probability based on its results. The probability of getting a total of 15 when four dice are thrown.

Determine whether the events are disjoint. Read a book by Mark Twain. Read about Tom Sawyer.

Discuss the advantages and disadvantages of odds

Select the correct interpretation of the probability of guessing the date of his birth, given that he told you in what month he was born. Interpret an event as significant if its probability is less than or equal to 0.05.

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Discrete Probability Distributions

Normal Probability Distributions

Estimating Parameters and Determining Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

Evaluate the expression. ${ } _ { 10 } P _ { 3 }$