2. Let X and Y be two random variables with joint density function given byFind the conditional expectation, . (10%)

2. A new diet and exercise program has been advertised as remarkable way toreduce blood glucose levels in diabetic patients. Ten randomly selected diabeticpatients are put on the program, and the results after 1 month are given by thefollowing table:Do the data provide sufficient evidence to support the claim that the newprogram reduces blood glucose level in diabetic patients? Use α=0.05, and　\( t_{0.05,9} = 1.833 \)。. (15%)

2. Let X and Y be two random variables with joint density function given byFind the conditional expectation, . (10%)

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