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The mean number of errors per page made by a member of the word-processing pool for a large company is thought to be 1.5, with the number of errors distributed according to a Poisson distribution. If three pages are examined, what is the probability that more than three errors will be observed?
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes.
a. Determine the probability that in a given 15-minute segment, no customers will arrive at the ATM.
b. What is the probability that fewer than four customers will arrive in a 30-minute segment?
Consider a situation in which a used-car lot contains five Fords, four General Motors (GM) cars, and five Toyotas. If five cars are selected at random to be placed on a special sale, what is the probability that three are Fords and two are GMs?
A population of 10 items contains 3 that are red and 7 that are green. What is the probability that in a random sample of 3 items selected without replacement, 2 red and 1 green items are selected?