Question: Question 1. (25 points) Two independent random variables X and Y each can take on only the values shown below and have the following distributions:

Question 1. (25 points) Two independent random variables X and Y each can take on only the values shown below and have the following distributions: 7: 3 4 5 y 1 2 3 Px(x) 0.4 a b de} 0.2 c 0.2 In addition we know that P(X=4 and Y=2) = 0.12. m) Find a, b, and c

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