A customer support center for a computer manufacturer receives an average of 1.4

Question

A customer support center for a computer manufacturer receives an average of 1.4 phone calls every five minutes. Assume the number of calls received follows the Poisson distribution. a. What is the probability that no calls will arrive during the next five minutes? b. What is the probability that 3 or more calls will arrive during the next five minutes? c. What is the probability that 3 calls will arrive during the next ten minutes? d. What is the probability that no more than 2 calls will arrive during the next ten minutes? a. The probability that no calls will arrive during the next five minutes is (Round to four decimal places as needed.) b. The probability that 3 or more calls will arrive during the next five minutes is (Round to four decimal places as needed.) c. The probability that 3 calls will arrive during the next ten minutes is (Round to four decimal places as needed.) d. The probabilty that no more than 2 calls will arrive during the next ten minutes is (Round to four decimal places as needed.)

Explanation / Answer

From statistical software calculator, the corresponding probabilities will be:

a) P(X = 0) = 0.2466

b) P(3 or more) = 0.1665

c) P(X = 3) = 0.2225

d) P(No more than 2) = 0.4695

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