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Questions and Answers
Define a new random variable Z as Z = min(X, Y). What is the CDF of Z?
Define a new random variable Z as Z = min(X, Y). What is the CDF of Z?
FX(z) + FY(z) - FX(z)FY(z)
If X and Y are two independent random variables with PMFs given as fX(k) = fY(k) = 1/6 for k = 1, 2, 3, 4, 5, 6, find the value of fZ(3) where Z = X - Y.
If X and Y are two independent random variables with PMFs given as fX(k) = fY(k) = 1/6 for k = 1, 2, 3, 4, 5, 6, find the value of fZ(3) where Z = X - Y.
1/12
If X follows Geometric(p) distribution and Y follows Geometric(p) distribution, and Z = X + Y, determine the values of p for which P(Z = 26) > P(Z = 25).
If X follows Geometric(p) distribution and Y follows Geometric(p) distribution, and Z = X + Y, determine the values of p for which P(Z = 26) > P(Z = 25).
p < 1/25
