# Question: Repeat Exercise 3 1 A certain random variable has a probability

Repeat Exercise 3.1. A certain random variable has a probability density function of the form f x (x) = ce –2xu(x). Find the following:

(a) The constant c,

(b) Pr (X >2),

(c) Pr (X < 3),

(d) Pr (X < 3|X > 2).

(a) The constant c,

(b) Pr (X >2),

(c) Pr (X < 3),

(d) Pr (X < 3|X > 2).

**View Solution:**## Answer to relevant Questions

The voltage of communication signal is measured. However, the measurement procedure is corrupted by noise resulting in a random measurement with the PDF shown in the accompanying diagram. Find the probability that for any ...Using the normalization integral for a Gaussian random variable, find an analytical expression for the following integral: Where, a > 0, b, and c are constants. The phase of a sinusoid, ϴ, is uniformly distributed over so that its PDF is of the form (a) (b) (c) Prove the following properties of conditional CDFs. (a) (b) (c) (d) Mr. Hood is a good archer. He can regularly hit a target having a 3- ft. diameter and often hits the bull’s- eye, which is 0.5 ft. in diameter, from 50 ft. away. Suppose the miss is measured as the radial distance from the ...Post your question