Suppose that X is a continuous random variable with probability density function given by ...

Suppose that X is a continuous random variable with probability density function given by

 for 0 ≤ x ≤ c

(a) What must be the value of c? Assuming this value of c, do the following:

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(b) Plot f(x).

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(c) Compute and plot F(x).

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(d) Compute , E(X), and Var(X).