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

Question:

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 = number of arrivals during a given minute, determine the following:
a. E(x)
b. P(x = 0)
c. P(x = 1)
d. P(x ≤ 2)
e. P(1 ≤ x ≤ 3)