Question: A continuous random variable X has probability density function given by where c is constant. Find (a) The value of the constant c; (b) The

A continuous random variable X has probability density function given by

fx(x) = {x4 0 for x > 1 for x < 1

where c is constant. Find

(a) The value of the constant c;

(b) The cumulative distribution function of X;

(c) P(X > 2);

(d) The mean of X;

(e) The standard deviation of X.

fx(x) = {x4 0 for x > 1 for x < 1

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