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Please assist and show steps b. Given random variables, .X and Y, with PMFs Pr(X - x} -for 1 5x 4 and PHY - 37-5

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b. Given random variables, .X and Y, with PMFs Pr(X - x} -for 1 5x 4 and PHY - 37-5 WIN for y 2 0. Define Z = X+ Y (i) State the valid range for Z (ii) Determine the PMF for Z (iii) Use your PMF to determine Pr{ Z - 4} (iv) Determine E[Z]

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