A classic study by F. Thorndike on the number of calls to a wrong number appeared in

Question:

A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Technical Journal, Vol. 5, pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. According to the paper, the number of calls to a wrong number, X, in a 1-minute period has a Poisson with parameter λ = 1.75. Determine the probability that during a 1-minute period the number of calls to a wrong number will be
a. Exactly two.
b. Between four and six, inclusive.
c. At least one.
Distribution
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