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Exam 6: Discrete Probability Distributions

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Question 31

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On a Sunday in April,dog bite victims arrive at Carver Memorial Hospital at a historical rate of 0.6 victim per day.On a given Sunday in April,what is the probability that exactly two dog bite victims will arrive?

A) 0.0875
B) 0.0902
C) 0.0988
D) 0.0919

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Question 32

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A project has 3 independent stages that must be completed in sequence.The time to complete each stage is a random variable.The standard deviations of the completion times for the stages are σ1 = 5,σ2 = 4,σ3 = 6.The standard deviation of the overall project completion time is

A) 8.77
B) 15.0
C) 14.2
D) 9.24

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Question 33

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The expected value of a random variable X is 10 and the standard deviation is 2.The standard deviation of the random variable Y = 2X − 10 is

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

In Quebec,90 percent of the population subscribes to the Roman Catholic religion.In a random sample of eight Quebecois,find the probability that the sample contains at least five Roman Catholics.

Which probability model is most nearly appropriate to describe the number of burned-out fluorescent tubes in a classroom with 12 fluorescent tubes,assuming a constant probability of a burned-out tube?

The coefficient of variation for a Poisson distribution with λ = 4 is

A random variable may be discrete or continuous,but not both.

On average,an IRS auditor discovers 4.7 fraudulent income tax returns per day.On a randomly chosen day,what is the probability that she discovers fewer than two?

The binomial distribution describes the number of

A die is rolled.If it rolls a 1,2,or 3,you win $2.If it rolls to a 4,5,or 6,you lose $1.Calculate the expected winnings.

An insurance company is issuing 16 car insurance policies.Suppose the probability for a claim during a year is 15 percent.If the binomial probability distribution is applicable,then the probability that there will be at least two claims during the year is equal to

Which is the hypergeometric probability of at least two damaged flash drives in a sample of five taken from a shipment of 150 that contains 30 damaged flash drives?

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

The coefficient of variation for a Poisson distribution with λ = 5 is

The CDF for a binomial distribution shows

Which model would you use to describe the probability that a call-center operator will make exactly 2 sales in 20 random calls,assuming a constant probability of making a sale?

The true proportion of accounts receivable with some kind of error is 0.02 for Venal Enterprises.If an auditor randomly samples 50 accounts receivable,which is the Excel probability that fewer than two will contain errors?

Which model best describes the number of incorrect fare quotations by a well-trained airline ticket agent between 2 p.m.and 3 p.m.on a particular Thursday.

Which probability model would you use to describe the number of damaged printers in a random sample of 4 printers taken from a shipment of 28 printers that contains 3 damaged printers?