**Problem 12A**

Suppose that is the length of stay (in days) in a hospital for gastric bypass surgery. Suppose that follows a Poisson distribution with a mean of 3 days. The total cost of the hospital stay is (in dollars). What is the expected cost of the hospital stay for gastric bypass surgery?

**Problem 12B**

Suppose that is the number of car accidents in the next year for an individual who just purchased auto insurance. The insurer estimated that follows a Poisson distribution with . What is the probability that this individual will have exactly two accidents in the upcoming year?

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**Answers are found below**.

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