Question: Suppose that the random variable X is equal to the positive square root of Y, where Y itself a random variable with density function: f(y)

Suppose that the random variable X is equal to the positive square root of Y, where Y itself a random variable with density function:

f(y) = 6y(1-y) for 0 < y < 1

Calculate P(0.64 < X < 0.83) to 4 decimal places.

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