We sample the performance of each step, and find that each of them operates correctly about 95% of the time. What is the probability that a customer who visits three times will find our service satisfactory on all 3 visits?

85%

Step-by-step explanation:

The probability of finding our satisfactory service in the three visits in a row would be the multiplication of the probability of each event.

The event is always the same. 95% of the service will be satisfactory. That is a probability of 95/100

Then the final probability would be:

(95/100) * (95/100) * (95/100) = 0.85

In other words, the probability that a customer who visits three times will find our service satisfactory is 85%