A boat broker in Florida receives an average of 26 orders per year for an exotic model of cruiser
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A boat broker in Florida receives an average of 26 orders per year for an exotic model of cruiser

E.2 A boat broker in Florida receives an average of 26 orders per year for an exotic model of cruiser. Assuming that the demand for this model remains the same throughout the year, what is the probability that the broker will receive the following? (Assume there are 52 weeks in a year.)

a. exactly 1 order for this model in a given week.

b. exactly 2 orders for this model over a given two-week period.

c. exactly 4 orders for this model over a given two-week period.

Hint
Statisticsa. Let X be a random variable following poisson distribution with parameter 26 orders per year = 26 orders per 52 weeks = 26/52 orders per week = 0.5 orders per day. P(X = 1) = 0.303265...

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