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A certain random variable has a probability density function of

A certain random variable has a probability density function of the form f x (x) = ce –2xu(x). Find the following:

(a) The constant c,

(b) Pr (X >2),

(c) Pr (X < 3),

(d) Pr (X < 3|X > 2).

(a) The constant c,

(b) Pr (X >2),

(c) Pr (X < 3),

(d) Pr (X < 3|X > 2).

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