Exam 5: Some Important Discrete Probability Distributions

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10.0 calls a day.The standard deviation of the number of 000 calls in a day is ________.

Instruction 5-8 A major airline keeps a record of the number of mishandled bags per 1,000 customers.In 2011,the airline had 4.06 mishandled bags per 1,000 customers.Assume that the number of mishandled bags has a Poisson distribution. -Referring to Instruction 5-8,what is the probability that in the next 1,000 customers,the airline will have fewer than six mishandled bags?

It was believed that the probability of a small business that declared bankruptcy per month was the same in any month.Also the number of small businesses that declared bankruptcy was the same every month.Which of the following distributions would you use to determine the probability that more than three bankruptcies will occur next month?

Instruction 5-5 There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution: Returns Probability Neighbourhood A Neighbourhood B .25 -\ 22,500 \ 30,500 .40 \ 10,000 \ 25,000 .35 \ 40,500 \ 10,500 -Referring to Instruction 5-5,what is the expected value gain for the house in neighbourhood A?

The number of customers arriving at a department store in a 5-minute period has a binomial distribution.

Instruction 5-6 From an inventory of 48 new cars being shipped to local dealerships,corporate reports indicate that 12 have defective radios installed. -Referring to Instruction 5-6,what is the probability out of the 8 new cars it just received that,when each is tested,none of the cars have defective radios?

A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.025.To find the probability that exactly 20 of the computers will require repair on a given day,one will use what type of probability distribution?

The Poisson distribution can be used to approximate the binomial distribution under certain circumstances.

The diameters of 10 randomly selected bolts have a binomial distribution.