Question: Let X be a random variable with pdf f(x) = 1/2 e^(-x/2), x>0. a)show that f(x) is a valid pdf. b)determine the cdf of x,

Let X be a random variable with pdf

f(x) = 1/2 e^(-x/2), x>0.

a)show that f(x) is a valid pdf.

b)determine the cdf of x, and use the cdf to evaluate the probability that x is greater than 0.5.

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