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Exam 6: Discrete Probability Distributions

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Question 51

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The two outcomes (success,failure)in the Bernoulli model are equally likely.

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Question 52

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On a randomly chosen Wednesday,which probability model would you use to describe the number of convenience store robberies in Los Angeles?

A) Binomial
B) Poisson
C) Hypergeometric
D) Geometric

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Question 53

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There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exceeds the customer's credit limit.What is the probability that the first such rejection occurs within the first 20 Visa transactions?

Suppose X is binomially distributed with n = 12 and π = .20.The probability that X will be less than or equal to 3 is:

The outcomes for the sum of two dice can be described as a discrete uniform distribution.

A discrete distribution can be described by its probability density function (PDF)or by its cumulative distribution function (CDF).

The discrete random variable X is the number of passengers waiting at a bus stop.The table below shows the probability distribution for X.What is the expected value E(X) for this distribution?

For which binomial distribution would a Poisson approximation be unacceptable?

Although the shape of the Poisson distribution is positively skewed,it becomes more nearly symmetric as its mean becomes larger.

To describe the number of blemishes per sheet of white bond paper,we would use a discrete uniform distribution.

The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that fewer than 2 students come to office hours on any given Monday?

Which of the following is not a requirement of a binomial distribution?

Ephemeral Services Corporation (ESCO) knows that nine other companies besides ESCO are bidding for a $900,000 government contract.Each company has an equal chance of being awarded the contract.If ESCO has already spent $100,000 in developing its bidding proposal,what is its expected net profit?

Which distribution is most strongly right-skewed?

A carnival has a game of chance: a fair coin is tossed.If it lands heads you win $1.00 and if it lands tails you lose $0.50.How much should a ticket to play this game cost if the carnival wants to break even?

When you send out a resume,the probability of being called for an interview is .20.What is the expected number of resumes you send out until you get the first interview?

Of the following,the one that most resembles a Poisson random variable is the number of:

There are 90 passengers on a commuter flight from SFO to LAX,of whom 27 are traveling on business.In a random sample of five passengers,use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.

Which model best describes the number of blemishes per sheet of white bond paper?

The probability that a rental car will be stolen is 0.0004.If 3500 cars are rented,what is the approximate Poisson probability that 2 or fewer will be stolen?