Exercise 3: Suppose that in an electric display sign there are three light bulbs in the first row and four light bulbs in the second row. Let X denote the mumber of bulbs in the first row that will be...

Extracted text: Exercise 3: Suppose that in an electric display sign there are three light bulbs in the first row and four light bulbs in the second row. Let X denote the mumber of bulbs in the first row that will be burned out at a specified time t, and let Y denote the number of bulbs in the second row that will be burned out at the same time t. Suppose that the joint p.f of X and Y is as specified in the following table: 2 3 4 0.08 0.07 0.06 0.01 0.01 1 0.06 0.10 0.12 0.05 0.02 2 0.05 0.06 0.09 0.04 0.03 3 0.02 0.03 0.03 0.03 0.04 Determine each of the following probabilities: 1. Pr(X = 2) 2. Pr(Y > 2) 3. Pr(Y < 2|x="3)" and="" var[y|y="3]," var[y|x="3]">