In a survey on the quality of customer service at Car Toys, customers were asked to rate the service on a scale from 1 to 10, with 10 being that a customer was completely satisfied. Assume that the distribution of the responses can be approximated by a normal distribution with a mean of 7 and a std deviation of 1.
a. What is the probability that an individual customer gives a rate of at least 8?
b. In a random sample of 10, what is the probability that the average rating is at least 8?
(Please explain each step with any formulas)
The solution answers the question(s) below.