A customer support center for a computer manufacturer receives an average of 1.9

Question

A customer support center for a computer manufacturer receives an average of 1.9 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 ___

Explanation / Answer

a) Mean ==19/10=1.9.

Variance 2==19/10=1.9.

Standard deviation =19/101.37840487520902.

P(X=0)=0.1495

b)

Mean ==19/10=1.9.

Variance 2==19/10=1.9.

Standard deviation =19/101.3784

P(X3)=0.2962

c)

Mean ==19/5=3.8.

Variance 2==19/5=3.8.

Standard deviation =19/51.9493

P(X=3)=0.2045

d)

Mean ==19/5=3.8.

Variance 2==19/5=3.8.

Standard deviation =19/51.9493.

P(X=2)=0.1615

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