3.A utility company in a large metropolitan area finds that 95% of its customers pay a given monthly bill in full. Looking more closely at their records, they find that 98% 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)Create a tree diagram.

b)Find the probability that a customer chosen at random will pay two consecutive months in full.

c)Find the probability that a customer selected at random will pay neither of two consecutive months in full.

d)Find the probability that a customer chosen at random will pay exactly one month in full.

e)If a person paid the second month in full, what is the probability that they also paid the first month in full?