6.44 During the 12 p.m.1 p.m. noon hour, arrivals at a curbside banking machine have been found...

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6.44 During the 12 p.m.–1 p.m. noon hour, arrivals at a curbside banking machine have been found to be Poisson distributed with a mean of 1.3 persons per minute. If x 5 number of arrivals during a given minute, determine the following:

a. E(x)

b. P(x 5 0)

c. P(x 5 1)

d. P(x # 2)

e. P(1 # x # 3)

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