Question: The PDF of a continuous random variable X is as follows: f(X) = c(4x - 2x2) 0 x 2 = 0 otherwise a.

The PDF of a continuous random variable X is as follows:
f(X) = c(4x - 2x2) 0 ≤ x ≤ 2
= 0 otherwise
a. For this to be a proper density function, what must be the value of c?
b. Find P(l < x < 2)
c. Find P{x > 2)

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