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Let X be a random variable with probability density function fX(x) given by fX(x) = c(4...

Let X be a random variable with probability density function fX(x) given by fX(x) = c(4 − x ^2 ) for |x| ≤ 2 and zero otherwise.

Evaluate the constant c, and compute the cumulative distribution function.

Let X be the random variable. Compute the following probabilities.

a. Prob(X < 1)

b. Prob(X > 1/2)

c. Prob(X < 1|X > 1/2).

Math   Statistics-And-Probability   
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