Let X and Y be independent continuous random variables, with each one uniformly distributed in the...

Let X and Y be independent continuous random variables, with each one uniformly distributed in the interval from 0 to1. Compute the probability of the following event.

XY<=1/7

Solutions

Expert Solution

Given:

Let X and Y be independent continuous random variables, with each one uniformly distributed in the interval from 0 to1.

To find : The probability of XY<=1/7

Now,

X ~ U(0,1), Y ~ U(0,1)

Therefore the probability of XY<= 1/7 is 0.4208

orchestra answered 1 year ago

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