Question

Let's say we have a pseudo-random number U = 0.128. I want to use this U...

Let's say we have a pseudo-random number U = 0.128. I want to use this U to generate an Exponential (λ = 1/3) random variate. How do I do this?

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Answer #1

The CDF for the exponential distribution here is obtained as first:

Now using the random number, 0.128, the variate of the exponential distribution here is computed as:

Therefore 0.4109 is the required random variate here.

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