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April 27th, 2017, 10:33 AM  #1 
Member Joined: Apr 2017 From: PA Posts: 43 Thanks: 0  Finding a cdf
A number U is chosen at random in the interval [0, 1]. (b) S = U(1 − U) < 1/4. 13 Find the cumulative distribution function F and the density function f for the random variables S. Attempt: I tried to use the theorem P (Y is less than or equal to y). Then I got P(U (1U) is less than or equal to y) then I got P (uu^2 is less than or equal to y). Then, I factoed out a u to get P(u is less than to equal to y/(1u)). I tried to isolate E the U, but there was no way I could getthe cdf that way. How should I find the cdf for this problem? 

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