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Exam 5: Discrete Random Variables and Their Probability Distribution

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Question 1

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The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of 2.8 per sheet.What percent of these sheets have no air bubbles?

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Question 2

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For a discrete random variable x,the probability of any value of x is:

A) always greater than 1
B) always less than zero
C) always in the range zero to 1
D) never greater than zero

E) A) and D)
F) All of the above

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Question 3

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Use the following to answer questions : Historical data indicates that Rickenbacker Airlines receives an average of 2.9 complaints per day. -What is the probability,rounded to four decimal places,that on a given day,Rickenbacker Airlines will receive less than 3 complaints?

A Bernoulli trial is:

Use the following to answer questions : Historical data indicates that Rickenbacker Airlines receives an average of 2.9 complaints per day. -What is the probability,rounded to four decimal places,that on a given day,Rickenbacker Airlines will receive exactly 1 complaints?

Which of the following is not a binomial experiment?

Let N = 15,r = 5,and n = 2.Using the hypergeometric probability distribution formula,find P(x 1).Round your answer to four decimal places.

Use the following to answer questions : The following table lists the probability distribution of a discrete random variable x: -The probability that is greater than or equal to 6 is:

Use the following to answer questions : The following table lists the probability distribution of a discrete random variable x: -The mean of the random variable x is:

The binomial probability distribution is right-skewed if:

Use the following to answer questions : The following table lists the probability distribution of a discrete random variable x: -The probability that is greater than 6 is:

Five percent of all credit card holders eventually become delinquent.The probability,rounded to four decimal places,that in a random sample of 21 credit card holders,exactly 3 will become delinquent is:

Use the following to answer questions : The following table lists the probability distribution of a discrete random variable x: -The mean of the random variable x is:

Which of the following is not a condition to apply the Poisson probability distribution?

The mean number of accidents to occur at a busy intersection during a 24-hour period has a Poisson distribution.If the probability of no accidents during a 24-hour period is 0.1165,what is the mean number of accidents,rounded to two decimal places,per 24-hour period?

For 3.5,the probability of P(x < 4),rounded to four decimal places,is:

Which of the following is not a condition of the binomial experiment?

A survey show that out of 1,000 households surveyed,392 own one car,432 own two cars,153 own three cars,and 23 own 4 or more cars.Construct the probability distribution for this data.

The formula used to obtain the mean of a discrete random variable is:

Use the following to answer questions : The following table lists the probability distribution of a discrete random variable x: -The probability of is: