# Question

For positive constants a, b, c, and positive integer n, a pair of random variables has a joint PDF specified by

(a) Find the constant in terms of a, b, c, and n.

(b) Find the marginal PDFs, fX (x) and fY (y).

(c) Find Pr (X > Y).

(a) Find the constant in terms of a, b, c, and n.

(b) Find the marginal PDFs, fX (x) and fY (y).

(c) Find Pr (X > Y).

## Answer to relevant Questions

For the transition matrix Q, prove that the equally likely source distribution, Pi = 1/3, i = 1, 2, 3, is the one that maximizes mutual information and hence the mutual information of the capacity associated with the channel ...A pair of random variables has a joint PDF specified by fX, Y( x, y) = d exp (–( ax2+ bxy+ cy2)) (a) Find the constant in terms of a, b, and c. Also, find any restrictions needed for a, b, and c themselves for this to be a ...Three zero- mean random variables [X, Y, Z] have a covariance matrix given by Find the value of the constants and so that the variance of Z – aX –bY is minimized. Suppose Xm, m = 1, 2,….,n are a sequence of independent and exponentially distributed random variables with Assuming that is an odd number (n = 2k –1 for some integer ): (a) Find the PDF of the median of the sequence. ...Suppose a point in two- dimensional Cartesian space, (X, Y), is equally likely to fall anywhere on the semicircle defined by X2 + Y2 = 1and Y ≥ 0. Find the PDF of Y, fY (y).Post your question

0