Question: Verify that the functions are probability density functions for a continuous random variable X over the given interval. Determine the specified probability. f(x) = 3

Verify that the functions are probability density functions for a continuous random variable X over the given interval. Determine the specified probability. f(x) = 3 2 x (2 - x) over [0, 1], P(0.5

f(x) = 3 2 x (2 - x) over [0, 1], P(0.5 > X)

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