# Question: Find the value of the constant that makes each of

Find the value of the constant that makes each of the following functions a properly normalized PDF.

(a)

(b)

(c)

(d)

(a)

(b)

(c)

(d)

## Answer to relevant Questions

Prove the integral identity, It may be easier to show that I2 = 2x. A Gaussian random variable has a PDF of the form Write each of the following probabilities in terms of Q- functions (with positive arguments) and also give numerical evaluations: (a) (X > 0), (b) (X > 2), (c) (X > –3), (d) ...Repeat Exercise 3.2 for the case where the random variable has the CDF Find the following quantities: (a) Pr(X < 2) (b) Pr(X > 4) (c) Pr (1< X< 3) (d) Pr(X > 2|X < 4) Suppose our receiver must observe the random variable and then make a decision as to what message was sent. Furthermore, suppose the receiver makes a three- level decision as follows: Decide 0 was sent if Pr (M = 0|X = x) ...Suppose we are given samples of the CDF of a random variable. That is, we are given Fn = Fx (xn) at several points, xn Ɛ { x1, x2, x3,….xk. After examining a plot of the samples of the CDF, we determine that it appears ...Post your question