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![Random variable X has probability density function fX(x)={1x/200x2otherwise. A hard limiter
produces Y={X1X1X>1 (1) What is the CDFFX(x) ? (2) What is P[Y=1] ? (3) What is FY(y) ? (4)
What is fY(y) ?](https://image.slidesharecdn.com/randomvariablexhasprobabilitydensityfunctionfxx1x-230318041357-e246c2df/85/Random-variable-X-has-probability-density-function-fXx1x-pdf-1-320.jpg)
The document discusses a random variable x with a given probability density function and a hard limiter that outputs y based on the value of x. It poses four questions regarding the cumulative distribution function of x, the probability of y equaling one, and two forms of the probability distribution function for y. It seeks to explore the relationships between these variables and their distributions.
![Random variable X has probability density function fX(x)={1x/200x2otherwise. A hard limiter
produces Y={X1X1X>1 (1) What is the CDFFX(x) ? (2) What is P[Y=1] ? (3) What is FY(y) ? (4)
What is fY(y) ?](https://image.slidesharecdn.com/randomvariablexhasprobabilitydensityfunctionfxx1x-230318041357-e246c2df/85/Random-variable-X-has-probability-density-function-fXx1x-pdf-1-320.jpg)