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. Numberof FoodComplaints Probability Numberof ServiceComplaints Probability 0 1 2 3 0.12 0.29 0.42 0.17 0 1 2 3 0.18 0.38 0.34 0.10

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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

1

2

3

0.12

0.29

0.42

0.17

0

1

2

3

0.18

0.38

0.34

0.10

 

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