Let X denote the voltage at the output of a microphone, and suppose that X has a

Question:

Let X denote the voltage at the output of a microphone, and suppose that X has a uniform distribution on the interval from -1 to 1. The voltage is processed by a "hard limiter" with cutoff values -.5 and .5, so the limiter output is a random variable Y related to X by Y = X if |X| ≤ .5, Y = .5 if X > .5, and Y 5 -.5 if X < -.5.

a. What is P(Y = .5)?

b. Obtain the cumulative distribution function of Y and graph it.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...