There are two traffic lights on a commuter's route to and from work. Let X, be the number of lights at which the commuter must stop on his way to work, and X, be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n - 2). #= 1.2, ² = 0.76 X1 0 p(x₂) 0.3 (a) Determine the pmf of TX₁ + X₂. 0 1 (b) Calculate HT = to p(t₂) (c) Calculate - ² 2= To 1 0.2 How does it relate to μ, the population mean? # STO To 2 0.5 2 3 How does it relate to o2, the population variance? 2 = 4

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