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Two people enter the elevator in a 5-floor building. Let N1 and N2 denote the floors...

Two people enter the elevator in a 5-floor building. Let N1 and N2 denote the floors that they want to go to. Assume that N1 and N2 are independent and equtl to 2, 3, 4 and 5 with probabilities 1/4 each.
(a) Write down the joint PMF

(b) Calculate P(N1 > N2) and P(N1 = N2) (c) Let X1 and X2 denotethenumberofstopsthateachofthemwillmakebeforearriving to their floor. What is the support of X1 and X2? (d) Find the marginal PMF-s and the joint PMF of X1 and X2. Are they independent? (e) Calculate P(X1 = X2) (f) Calculate Corr(X1,X2)

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