38. There are two traffic lights on a commuter's route to and from work. Let Xi...

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38. There are two traffic lights on a commuters route to and from work. Let Xi be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose these two variables are independent, each with pmf given in the accompanying table (so X, Xy is a random sample of size a a. Determine the pemf of T,X b. Calculate Pr How does it relate to u, the population mean? c. Calculate吃How does it relate too, the population variance? d Let X, and x, be the number of lights at which a stop is required when driving to and from work on a second day assumed independent of the first day, with T = the sum of all four Xs, what now are the values of ET) and T) e. Referring back to (d. what are the values of FT-8) and /T .> 끼 Hine Dont even think of listing all p ssible outcom en

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Xi and X2 ave independent 50 P mf of To is T6 xX2Pzobabilty n notation 2. 2. OT 3 2. 2. T+ is twice the Population Mean = 0.98 It is twice the Population Variance

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