A poll was taken of 14,499 working adults aged $40 - 70$ to determine their level of educatic The participants were classified by sex and by level of education. The results were as folli $\begin{array}{cccc} \hline \text { Education Level } & \text { Male } & \text { Female } & \text { Total } \\ \hline \text { High School or Less } & 3157 & 2794 & 5951 \\ \text { Bachelor's Degree } & 3723 & 3714 & 7437 \\ \text { Master's Degree } & 529 & 482 & 1011 \\ \text { Ph.D. } & 50 & 50 & 100 \\ \hline \text { Total } & 7459 & 7040 & 14,499 \end{array}$ A person is selected at random. Compute the probability that the person is female and has bachelor's degree.

A) 0.528 B) 0.998 C) 0.256 D) 0.257 A) 0.528 B) 0.998 C) 0.256 D) 0.257

On a certain day, a cheese packaging facility packaged 500 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both majo minor flaws. The following table presents the results. $\begin{array}{ccc} \hline & \text { Minor Flaw } & \text { No Minor Flaw } \\ \hline \text { Major Flaw } & 16 & 29 \\ \text { No Major Flaw } & 60 & 395 \\ \hline \end{array}$ Find the probability that randomly chosen cheese package has no major flaw.

A) 0.79 B) 0.822 C) 0.91 D) 0.21 A) 0.79 B) 0.822 C) 0.91 D) 0.21

Exam 4: Probability and Counting Rules

According to a survey, 43% of teenagers could recognize a picture of legendary film star John Wayne. What is the probability that a randomly-selected teenager could recognize John Wayne?

(Multiple Choice)

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Question 41

Let $A$ and $B$ be events with $P ( A ) = 0.5 , P ( B ) = 0.4$ . Assume that $A$ and $B$ are independent. Find $P ( A$ and $B )$ .

(Multiple Choice)

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Question 42

A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is $\{ 1,2,3,4,5,6,7,8,9,10,11,12 \}$ . Find $P ($ Less than $3 )$ $A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is \{ 1,2,3,4,5,6,7,8,9,10,11,12 \} . Find P ( Less than 3 )$

(Multiple Choice)

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Question 43

Let $A$ and $B$ be events with $P ( A ) = 0.2 , P ( B ) = 0.9$ , and $P ( A$ and $B ) = 0.12$ . Are $A$ and $B$ independent?

(Multiple Choice)

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Question 44

In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend a management seminar. Find the probability that 2 men and 1 woman will be selected.

(Multiple Choice)

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Question 45

$\text { Evaluate the combination: } { } _ { 12 } C _ { 8 }$

(Multiple Choice)

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Question 46

A poll was taken of 14,499 working adults aged $40 - 70$ to determine their level of educatic The participants were classified by sex and by level of education. The results were as folli Education Level Male Female Total High School or Less 3157 2794 5951 Bachelor's Degree 3723 3714 7437 Master's Degree 529 482 1011 Ph.D. 50 50 100 Total 7459 7040 14,499 A person is selected at random. Compute the probability that the person is female and has bachelor's degree.

(Multiple Choice)

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Question 47

How many different ways can a teacher select 5 students from a class of 19 students to each perform a different classroom task?

(Multiple Choice)

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Question 48

A fair die is rolled two times. What is the probability that both rolls are 1?

(Multiple Choice)

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Question 49

A fair die is rolled four times. What is the probability that it comes up 1 at least once?

(Multiple Choice)

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Question 50

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be $\frac { 2 } { 3 }$ .

(True/False)

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Question 51

Two dice are rolled. Find the probability of getting doubles or a sum of 2.

(Multiple Choice)

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Question 52

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let A be the event that all three doors are in the same condition. List the outcomes of A, [Let "L" designate "locked" and U" designate "unlocked".]

(Multiple Choice)

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Question 53

A compound event consists of two or more outcomes or simple events.

(True/False)

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Question 54

The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of the three sectors labeled "A", "B", or "C". The spinner is spun 124 times and comes up "A" 52 times. Use the Empirical Rule to approximate the probability that tl spinner comes up "A".

(Multiple Choice)

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Question 55

Let $E$ be the event that a corn crop has an infestation of ear worms, and let $B$ be the event that a corn crop has an infestation of corn borers. Suppose that $P ( E ) = 0.29 , P ( B ) = 0.1$ , and $P ( E$ and $B ) = 0.09$ . Find the probability that a corn crop has no corn borer infestation.

(Multiple Choice)

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Question 56

Two events A and B are if the fact that A occurs does not 128) affect the probability of B occurring.

(Short Answer)

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Question 57

${ } _ { 9 } C _ { 6 } \text { is equal to } 84$

(True/False)

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Question 58

At a certain college, there were 700 science majors, 300 engineering majors, and business majors. If one student was selected at random, the probability that the student Is an engineering major is

(Multiple Choice)

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Question 59

On a certain day, a cheese packaging facility packaged 500 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both majo minor flaws. The following table presents the results. Minor Flaw No Minor Flaw Major Flaw 16 29 No Major Flaw 60 395 Find the probability that randomly chosen cheese package has no major flaw.

(Multiple Choice)

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Question 60

According to a survey, 43% of teenagers could recognize a picture of legendary film star John Wayne. What is the probability that a randomly-selected teenager could recognize John Wayne?

Let $A$ and $B$ be events with $P ( A ) = 0.5 , P ( B ) = 0.4$ . Assume that $A$ and $B$ are independent. Find $P ( A$ and $B )$ .

Let $A$ and $B$ be events with $P ( A ) = 0.2 , P ( B ) = 0.9$ , and $P ( A$ and $B ) = 0.12$ . Are $A$ and $B$ independent?

In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend a management seminar. Find the probability that 2 men and 1 woman will be selected.

$\text { Evaluate the combination: } { } _ { 12 } C _ { 8 }$

How many different ways can a teacher select 5 students from a class of 19 students to each perform a different classroom task?

A fair die is rolled two times. What is the probability that both rolls are 1?

A fair die is rolled four times. What is the probability that it comes up 1 at least once?

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be $\frac { 2 } { 3 }$ .

Two dice are rolled. Find the probability of getting doubles or a sum of 2.

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let A be the event that all three doors are in the same condition. List the outcomes of A, [Let "L" designate "locked" and U" designate "unlocked".]

A compound event consists of two or more outcomes or simple events.

The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of the three sectors labeled "A", "B", or "C". The spinner is spun 124 times and comes up "A" 52 times. Use the Empirical Rule to approximate the probability that tl spinner comes up "A".

Let $E$ be the event that a corn crop has an infestation of ear worms, and let $B$ be the event that a corn crop has an infestation of corn borers. Suppose that $P ( E ) = 0.29 , P ( B ) = 0.1$ , and $P ( E$ and $B ) = 0.09$ . Find the probability that a corn crop has no corn borer infestation.

Two events A and B are if the fact that A occurs does not 128) affect the probability of B occurring.

${ } _ { 9 } C _ { 6 } \text { is equal to } 84$

At a certain college, there were 700 science majors, 300 engineering majors, and business majors. If one student was selected at random, the probability that the student Is an engineering major is

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 4: Probability and Counting Rules

According to a survey, 43% of teenagers could recognize a picture of legendary film star John Wayne. What is the probability that a randomly-selected teenager could recognize John Wayne?

Let AAA and BBB be events with P(A)=0.5,P(B)=0.4P ( A ) = 0.5 , P ( B ) = 0.4P(A)=0.5,P(B)=0.4 . Assume that AAA and BBB are independent. Find P(AP ( AP(A and B)B )B) .

A 12-sided die can be made from a geometric solid called a dodecahedron. Assume that a fair dodecahedron is rolled. The sample space is {1,2,3,4,5,6,7,8,9,10,11,12}\{ 1,2,3,4,5,6,7,8,9,10,11,12 \}{1,2,3,4,5,6,7,8,9,10,11,12} . Find P(P (P( Less than 3)3 )3)

Let AAA and BBB be events with P(A)=0.2,P(B)=0.9P ( A ) = 0.2 , P ( B ) = 0.9P(A)=0.2,P(B)=0.9 , and P(AP ( AP(A and B)=0.12B ) = 0.12B)=0.12 . Are AAA and BBB independent?

In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend a management seminar. Find the probability that 2 men and 1 woman will be selected.

Evaluate the combination: 12C8\text { Evaluate the combination: } { } _ { 12 } C _ { 8 } Evaluate the combination: 12​C8​

How many different ways can a teacher select 5 students from a class of 19 students to each perform a different classroom task?

A fair die is rolled two times. What is the probability that both rolls are 1?

A fair die is rolled four times. What is the probability that it comes up 1 at least once?

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be 23\frac { 2 } { 3 }32​ .

Two dice are rolled. Find the probability of getting doubles or a sum of 2.

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let A be the event that all three doors are in the same condition. List the outcomes of A, [Let "L" designate "locked" and U" designate "unlocked".]

A compound event consists of two or more outcomes or simple events.

The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of the three sectors labeled "A", "B", or "C". The spinner is spun 124 times and comes up "A" 52 times. Use the Empirical Rule to approximate the probability that tl spinner comes up "A".

Two events A and B are if the fact that A occurs does not 128) affect the probability of B occurring.

9C6 is equal to 84{ } _ { 9 } C _ { 6 } \text { is equal to } 849​C6​ is equal to 84

At a certain college, there were 700 science majors, 300 engineering majors, and business majors. If one student was selected at random, the probability that the student Is an engineering major is

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Let $A$ and $B$ be events with $P ( A ) = 0.5 , P ( B ) = 0.4$ . Assume that $A$ and $B$ are independent. Find $P ( A$ and $B )$ .

Let $A$ and $B$ be events with $P ( A ) = 0.2 , P ( B ) = 0.9$ , and $P ( A$ and $B ) = 0.12$ . Are $A$ and $B$ independent?

$\text { Evaluate the combination: } { } _ { 12 } C _ { 8 }$

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be $\frac { 2 } { 3 }$ .

${ } _ { 9 } C _ { 6 } \text { is equal to } 84$