Question

3. Bob is serving burgers at his restaurant. His children, Louise, Gene, and Tina, check a batch of 50 burger patties before the restaurant opens and find that 45 are safe to eat (5 have E. coli...oh, no!). Unfortunately, his children forgot to tell Bob which ones are unsafe to eat. Let X be the number of unsafe burgers in a randomly drawn sample of 10 burgers from the batch (a) Compute the probability that more than 1 burger drawn has E. coli. (b) Find the probability mass function of X (c) Compute the expected value of X. You may leave your answer as a sum. (d) Let N Pois(4) be the number of complaints Health Inspector Hugo receives about Bob's Burgers each week. Find the probability that given at least one complaint is made, the health inspector receives 5 complaints.

Answer 1