A sales firm receives, on average, three calls per hour on its toll-free number

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A sales firm receives, on average, three calls per hour on its toll-free number

A sales firm receives, on average, three calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following:
(a) At most three calls
(b) At least three calls
(c) Five or more calls

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Answer 1

Answer #1

a.At most 3 calls P(X≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3) = (λ0e-3/0!) + (λ1e-3/1!) + (λ2e-3/2!) + (λ3e-3/3!) = (30 x 0.04979 /1) + (31 x 0.04979 /1) + (32 x 0.04979 /2) + (33 x 0.04979 /6)= 0.04979 + 0.14937 + 0.2241 + 0.2241= 0.64736

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