What are the chances?

Calculus Level 3

Let f ( x ) = k e x / a f(x)=ke^{-|x|/a} , for < x < -\infty < x < \infty represent a probability density function of a distribution with mean 0 0 and standard deviation 1 1 .

What is the probability that a number randomly chosen from this distribution is greater than 1 1 ?

(Report your answer to three significant digits)


The answer is 0.122.

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