2 Let X is an exponential random variable with mean1 then th

2. Let X is an exponential random variable with mean=1, then the pdf is f(x) = e^-x, x > 0. (a) Find the cdf, F(x), for all - infinity

Solution

F(x) = cum funciton of x =1-e^-x, x>0

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b) 100th percentile means the point where cumulative prob =1

Thus xp is the highest point in the domain.

It may be infinity.

xp(p) may converge to finite number sometimes as in Poisson distribution

then it may be finite = mean.