Arestaurant chain regularly surveys its customers about the quality of the food and the quality of the service. The survey responses are summarized in the Exhibit 4.30 below. The relative frequencies are considered good estimates of the associated probabilities.

a. What is the probability that a randomly selected customer is satisfied with the service and rates the restaurant's food as poor?
b. What is the probability that a randomly selected customer is not satisfied with the service?
c. What is the probability that a customer who rated the food as poor was not satisfied with the service?
d. Are the service rating and the food rating related? You must use probabilities to prove your answer to this question.

Opnion about Food Excellent Satisfied with Service 0.36 Not Satisfied with Service 0.06 Good 0.18 0.10 0.07 Fair 0.08 Poor 0.05 0.10