Given that the random variable X has the following cumulative distrib.pdf
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The document discusses a random variable x with a cumulative distribution function f(x) = 1 - e^-x for x > 0. It derives the probability density function, concluding that f(x) = e^-x for x > 0. The final verified solution is option (b).
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Given that the random variable X has the following cumulative distrib.pdf
- 1. Given that the random variable X has the following cumulative distribution function F(x) = 1 - e^-x, for x > 0. Find the probability density function, f(x), for the random varaible X. f(x) = -e, for x> 0 f(x) = e^-x, for X > 0 f(x)=e^-x for -infinity Solution taking derivative of F(x), we get: f(x) = e^(-x) for x>0 (option (B))