A door-to-door salesman expects to make a sale 22% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.4. If he makes no sale, the probability for a sale to the next customer stays at 0.22. What is the probability that he will make at least two sales with his first three visits?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A door-to-door salesman expects to make a sale 22% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.4. If he makes no sale, the probability for a sale to the next customer stays at 0.22. What is the probability that he will make at least two sales with his first three visits? 

 

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