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The continuous random variable X has p.d.f, f(x) where f(x) = {k(x + 2)^2. ;-2

The continuous random variable X has p.d.f, f(x) where

f(x) = {k(x + 2)^2. ;-2

a) Find the value of the constant k.

b) Make a sketch of f(x).

c) Find P(-1

d) Find P(X>1).

e) Find V ar( X).

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