The continuous random variable X has a the following probability density function: p(x) = ) - {² (1-4) KISA |=| > A' where A> 0 is a constant. (a) Sketch p(x). (b) Show that p(z) is a proper probability density function. (e) Find Pr(z ≤ 1) as a function of A and evaluate this in the case of λ = 2.

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