Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly one.
Telephone calls to the national reservation center for motels were studied. A certain model defined a Type I call to be a call from a motel’s computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter λ=1.8. Answer the following questions.
a. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly
one.
b. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at most
two.
c. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least
four. (Hint: Use the complementation rule.)
d. Find the mean of the random variable X.
e. Find the standard deviation of the random variable X.
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