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5. (10 points) John runs an outdoor restaurant. Every day, he is unable to open the restaurant due to bad weather with p
Posted: Sun Jul 10, 2022 10:41 am
by answerhappygod
- 5 10 Points John Runs An Outdoor Restaurant Every Day He Is Unable To Open The Restaurant Due To Bad Weather With P 1 (72.45 KiB) Viewed 65 times
5. (10 points) John runs an outdoor restaurant. Every day, he is unable to open the restaurant due to bad weather with probability p, independently of all other days. Let y be the number of consecutive days that John is able to keep the restaurant open between bad weather days. Let X be the total number of customers at the restaurant in this period of Ydays. Conditional on Y, the distribution of Xis (XY) ~ Poisson (HY). a) What is the distribution of Y and compute the E[X] and Var[X]. b) What is the average number of customers at the restaurant between bad weather days?