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5. Let X1 and X2 be independent random variables with joint PMF f(x1,x2)=18x1x2 for x1= 1,2,3 and x2=1,2. (a) Determine the means and variances of X1 and X2. (b) Compute P(X1=3,X2=2). (c) Compute P(X1+X2=3) (d) Find the PMF of Y=X1+X2,y=2,3,4,5. (e) Determine the mean and variance of Y (f) How do the answers in part (e) compare to 1+2 and 12+22 ?.

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5. Let X1 and X2 be independent random variables with joint PMF f(x1,x2)=18x1x2 for x1= 1,2,3 and x2=1,2. (a) Determine the means and variances of X1 and X2. (b) Compute P(X1=3,X2=2). (c) Compute P(X1+X2=3) (d) Find the PMF of Y=X1+X2,y=2,3,4,5. (e) Determine the mean and variance of Y (f) How do the answers in part (e) compare to 1+2 and 12+22 ?

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5 Let X1 and X2 be independent random variables with joint .pdf

  • 1. 5. Let X1 and X2 be independent random variables with joint PMF f(x1,x2)=18x1x2 for x1= 1,2,3 and x2=1,2. (a) Determine the means and variances of X1 and X2. (b) Compute P(X1=3,X2=2). (c) Compute P(X1+X2=3) (d) Find the PMF of Y=X1+X2,y=2,3,4,5. (e) Determine the mean and variance of Y (f) How do the answers in part (e) compare to 1+2 and 12+22 ?