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let X follow the probability density function f(x):=e^(-x) if x>0. For what value of k is...

let X follow the probability density function f(x):=e^(-x) if x>0.

For what value of k is the probability that X is greater than k is at least 0.75

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Answer #1

Given PDF is standard exponential and the probability can be obtain by making use of concept of log .

​​​​​in an inequality multiplication by -1 reverses the sign of inequality.

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