A) μ = 4.0 B) μ = 4.3 C) μ = 4.7 D) μ = 3.5 A) μ = 4.0 B) μ = 4.3 C) μ = 4.7 D) μ = 3.5

A) σ = 2.59 B) σ = 5.86 C) σ = 0.18 D) σ = 6.71 A) σ = 2.59 B) σ = 5.86 C) σ = 0.18 D) σ = 6.71

A) σ = 3.32 B) σ = 6.59 C) σ = 0.91 D) σ = 7.44 A) σ = 3.32 B) σ = 6.59 C) σ = 0.91 D) σ = 7.44

A) 0.0154 B) 0.0116 C) 0.0039 D) 0.0231 A) 0.0154 B) 0.0116 C) 0.0039 D) 0.0231

Exam 10: Additional Topics in Probability

Let X be the number of smokers who quit cold turkey.The probability of quitting cold turkey is 10%.For a group of 5 smokers,selected independently,find the distribution of X.

(Essay)

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Question 21

If a fair coin is tossed six times,determine the probability that at least two heads show.

(Essay)

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Question 22

An urn contains three red and one green marble.Two marbles are randomly drawn in succession without replacement.If X is the number of red marbles that are drawn and f is the distribution of X,find f(0),f(1),and f(2).

(Essay)

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Question 23

n = 20; p = 0.2

(Multiple Choice)

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Question 24

An insurance company offers a life policy to individuals in a certain group.For a given 1-year period,the company will pay $5000 in the event of the death of a policyholder.If the probability that a person in this group dies during a 1-year time period is 0.001 and the annual premium for the policy is $10,then the expected gain per policy to the company is

(Multiple Choice)

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Question 25

An urn contains two red and eight green marbles.Four marbles are randomly drawn in succession with replacement.Determine the probability that exactly two marbles are red.

(Short Answer)

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Question 26

n = 42; p = 0.2

(Multiple Choice)

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(77)

Question 27

For the matrix T = ,find the probability of going from state 2 to state 1 after two steps.

(Multiple Choice)

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Question 28

If = is an initial state vector for the transition matrix T = ,compute the state vector .

(Essay)

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Question 29

A manufacturer produces light bulbs,of which 3% are defective.From a production run of 5000 bulbs,three bulbs are randomly selected and each is tested.Find,to three decimal places,the probability that the sample contains exactly one defective bulb.Assume that the three trials are independent and that the number of defective bulbs in the sample has a binomial distribution.

(Short Answer)

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Question 30

n = 46; p =

(Multiple Choice)

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Question 31

From a group of 10 men and 10 women,two people are randomly selected to form a committee.If X is the number of women on the committee,then P(X = 2)=

(Multiple Choice)

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Question 32

For the transition matrix T = ,find the probability of going from state 1 to state 2 after two steps.

(Essay)

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Question 33

A fair die is rolled four times.What is the probability that exactly three 2's appear?

(Essay)

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Question 34

A random variable X has a distribution given by f(0)= 0.3,f(1)= 0.6,f(2)= 0.1.(a)Find μ.(b)Find σ.

(Essay)

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Question 35

A manufacturer produces thermostats,10% of which are defective.From a production run,a sample of four thermostats is randomly selected.Determine the probability that at least three of the selected thermostats are defective.You may assume that the four trials are independent and that the number of defective items in the sample has a binomial distribution.

(Multiple Choice)

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Question 36

If = Is an initial state vector for the transition matrix T = ,compute the state vector )

(Multiple Choice)

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Question 37

If is a transition matrix for a Markov chain,determine the value of b.

(Short Answer)

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Question 38

P(X = 3); n = 4,p =

(Multiple Choice)

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Question 39

25% of a video store's customers are female.Let X be the number of women among the next 5 customers,and find the distribution of X.

(Essay)

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Question 40

Showing 21 - 40 of 45

Let X be the number of smokers who quit cold turkey.The probability of quitting cold turkey is 10%.For a group of 5 smokers,selected independently,find the distribution of X.

If a fair coin is tossed six times,determine the probability that at least two heads show.

An urn contains three red and one green marble.Two marbles are randomly drawn in succession without replacement.If X is the number of red marbles that are drawn and f is the distribution of X,find f(0),f(1),and f(2).

n = 20; p = 0.2

An urn contains two red and eight green marbles.Four marbles are randomly drawn in succession with replacement.Determine the probability that exactly two marbles are red.

n = 42; p = 0.2

For the matrix T = ,find the probability of going from state 2 to state 1 after two steps.

If = is an initial state vector for the transition matrix T = ,compute the state vector .

n = 46; p =

From a group of 10 men and 10 women,two people are randomly selected to form a committee.If X is the number of women on the committee,then P(X = 2)=

For the transition matrix T = ,find the probability of going from state 1 to state 2 after two steps.

A fair die is rolled four times.What is the probability that exactly three 2's appear?

A random variable X has a distribution given by f(0)= 0.3,f(1)= 0.6,f(2)= 0.1.(a)Find μ.(b)Find σ.

If = Is an initial state vector for the transition matrix T = ,compute the state vector )

If is a transition matrix for a Markov chain,determine the value of b.

P(X = 3); n = 4,p =

25% of a video store's customers are female.Let X be the number of women among the next 5 customers,and find the distribution of X.

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Limits and Continuity

Differentiation

Additional Differentiation Topics

Curve Sketching

Integration

Methods and Applications of Integration

Continuous Random Variables

Multivariable Calculus

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