Question

Restaurant “King Steak” offers a set lunch of a 150 grams steak for $100. The steaks are cut by a machine and the weight of a steak can be assumed to be normally distributed with mean 152 grams and standard deviation 1.7 grams.

(a) What is the probability that a customer gets a steak that weighs less than 150 grams?

(b) There is a 4% chance that a customer gets a steak that weighs less than W grams. What is the value of W?

(c) There is a table with 8 customers, everyone orders this set lunch. What is the probability that there are exactly 2 customers whose steaks weigh less than 150 grams?

(d) Sometimes there are customers ordering two sets of lunch. Use T to denote the total weight of two steaks. Find the mean, variance, and standard deviation of T.

Answer 1

The solution to this problem is given below