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12-03-2024
Mathematics

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Find a constant c such that p(x, y) = cxy if 0 leq x and 0 leq y leq 1 - x, 0 otherwise is a joint probability density function. Then calculate:
a) c = 34, , P(X > Y) = 132
b) c = 12, , P(X < Y) = 18
c) c = 23, , P(X = Y) = 112
d) c = 14, , P(X > Y) = 116

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