Refer to Exercise 4.27.A more detailed examination of the company records indicates that 95%of the customers who pay one monthly bill in full will also pay the next monthly bill in full; only 10% of those who pay less than the full amount one month will pay in full the next month.
a. Find the probability that a customer selected at random will pay two consecutive months in full.
b. Find the probability that a customer selected at random will pay neither of two consecutive months in full.
c. Find the probability that a customer chosen at random will pay exactly one month in full.
REFERENCE:
The utility company in a large metropolitan area finds that 70% of its customers pay a given monthly bill in full.
a. Suppose two customers are chosen at random from the list of all customers. What is the probability that both customers will pay their monthly bill in full?
b. What is the probability that at least one of them will pay in full?
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