W1 and W2 are discrete random variables (and are independent) with probability functions:
p1(w1) = 1/6 for w1 = −2 ,−1 , 0
p2(w2) = 1/4 for w2 = 1, 6
Let Y = W1 + W2
a).
Find the MGF of W1, W2 and Y
b).
USE RESULTS IN PREVIOUS PART to determine the probability mass function of Y
W1 and W2 are discrete random variables (and are independent) with probability functions: p1(w1) = 1/6...
W1 and W2 are discrete random variables (and are independent) with probability functions: p1(w1) = 1/6 for w1 = −2 ,−1 , 0 p2(w2) = 1/4 for w2 = 1, 6 Let Y = W1 + W2 Find the distribution and probability mass function of Y (Hint: First find MGF of W1 and W2 and then find MGF of Y)
X1 and X2 are discrete random variables (and are independent) with probability functions: p1(x1) = 1/3 for x1 = −2 ,−1 , 0 p2(x2) = 1/2 for x2 = 1, 6 Let Y = X1 + X2 a). Find the MGF of X1, X2 and Y b). USE MGFS derived in part a) to determine the probability mass function of Y. Note: MGFs in part a) must be used to determine the pmf of Y in part b)
Let Y1 and Y2 be two independent discrete random variables such that: p1(y1) = 1/3; y1 = -2 ,- 1, 0 p2(y2) = 1/2; y2 = 1, 6 Let K = Y1 + Y2 a) FInd the moment Generating function of Y1, Y2, and K b) find the probability mass function of K
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0.4. Suppose that Yi and Y2 are discrete independent random variables with the following moment generating functions: 6 10 102 I. Find the mean and variance of Yi 1-
0.4. Suppose that Yi and Y2 are discrete independent random variables with the following moment generating functions: 6 10 102
I. Find the mean and variance of Yi 1-