FRQ 2 At a particular coffee shop, 92% of customers order a beverage, 3% of customers order food alone (order food and not a beverage), and 12% of customers order food and a beverage. Suppose we randomly select a customer. Let B = the customer orders a beverage and F = the customer orders food.

a) What is P(F)? Interpret this value in context.

b) What is the probability that the customer orders food given that they order a beverage? Write this event in symbolic form and find the probability.

c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage? Justify your response.