As a part of a customer loyalty program, a restaurant's computer chooses orders at random to receive a free appetizer. Each orde
r has a 1 in 18 chance of receiving a free appetizer. (Each order is limited to one free appetizer.) Let X be the number of orders the restaurant fills in a day until they give away the first appetizer. Assume that each order getting the appetizer is independent. Find the probability that the restaurant first gives away an appetizer on the 6th order of the day. You may round your answer to the nearest hundredth
X = smallest; x + 2 = middle, and x + 4 = largest x + 2(x+2) = 20 + x + 4 x + 2x + 4=24 +x 3x + 4 = 24 + x 2x = 20 x = 10 so the three integers are 10, 12, and 14
