4.82 A restaurant manager receives occasional complaints about the quality of both the food and the service. The marginal probability distributions for the number of weekly complaints in each category are shown in the accompanying table. If complaints about food and service are independent of each other, find the joint probability distribution.

Number of Food Complaints Probability Number of Service Complaints Probability 0 0.12 0 0.18 1 0.29 1 0.38 2 0.42 2 0.34 3 0.17 3 0.10