Let N be the number of customers mailing packages between 9

Let N be the number of customers mailing packages between 9 AM and 10 AM at a shipping facility and X be the number of packages a random customer mails. The distribution of N is Poisson with a mean of 21.6 customers per hour and that of X is also Poisson, but with a mean of 1.5 packages per customer. Also, N and X are independent. What is the expectation of the total number of packages mailed between 9 AM and 10 AM at the facility? State your answer rounded to two decimal places.

Solution

Let N be the number of customers mailing packages between 9 AM and 10 AM at a shipping facility and X be the number of packages a random customer mails. The dis

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