In Excel:

A local restaurant observes that 20% of their customers spend more than $100 per meal. The restaurant refers to these guests as high valued guests. Let equal the number of high valued guests among the first 50 guests each day.

(a) What is the distribution of ?

(b) How many high valued guests should the restaurant expect in the first 50 guests? What is the standard deviation of ?

(c) What is the probability that the manager would see more than 12 high valued guests among the first 50 guests?

(d) What is the probability that is less than 7?