Question: 23. Suppose that h is the probability density function of a continuous random variable. Let the joint probability density function of X, Y, and Z

23. Suppose that h is the probability density function of a continuous random variable. Let the joint probability density function of X, Y, and Z be f(x, y, z) = h(x)h(y)h(z), x, y, z ∈ R.

Prove that P(X < Y < Z) = 1/6.

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