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Determine the value of c such that the function f(x, y) = cxy for 0 < x < 3 and 0 < y < 3
Determine the value of c such that the function f(x, y) = cxy for 0 < x < 3 and 0 < y < 3 satisfies the properties of a joint probability density function. Determine the following:
a. P(X < 2, Y < 3)
b. P(X < 2.5)
c. P(1 < Y < 2.5)
d. P(X > 1.8, 1 < Y < 2.5)
e. E(X)
f. P(X < 0, Y < 4)
g. Marginal probability distribution of X
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