A.z.Let A be a fixed positive constant, and define the function f(x) by f(r) de ifx>0 and f(x) = Ae^¹ if x < 0.-(a) Verify that f(x) is a pdf.(b) If X is a random variable with pdf given by f(x), find P(X

A function is a probability density function if the integral of given function over its entire…

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Let A be a fixed positive constant, and define the function f(x) by f(x) - e-if 20 and f(x)=de^ if x < 0. (a) Verify that f(x) is a pdf. (b) If X is a random variable with pdf given by f(x), find P(X