A random variable X has density function proportional to x 5 for x > 1. (a) Find

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A random variable X has density function proportional to x−5 for x > 1.
(a) Find the constant of proportionality.
(b) Find and graph the cdf of X.
(c) Use the cdf to find P(2 < X < 3).
(d) Find the mean and variance of X.

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