{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW5_10 - m and standard deviation σ In this case Y is said...

This preview shows page 1. Sign up to view the full content.

Online EE 131A Homework #5 Fall 2010 Due Nov. 3rd K. Yao Read Leon-Garcia (3rd edition), pp. 148-188; 233-254. 1. Problem 4.63 (p. 221). 2. A limiter Y = g ( X ) is shown in Fig. P4.2 (p. 219). a. Find the cdf and pdf of Y in terms of the cdf F X ( x ) and pdf f X ( x ) of X. b. Find the cdf and pdf of Y if X has a Laplacian pdf. c. Find the cdf and pdf of Y if X is a Gaussian rv with mean m and standard deviation σ. d. Find the cdf and pdf of Y if the input X = b sin ( U ) , where U is uniformly dis- tributed in the interval [0 , 2 π ] . 3. Let Y = e X . a. Find the cdf and pdf of Y in terms of the cdf F X ( x ) and pdf f X ( x ) of X. b. Find the cdf and pdf of Y if X is a Gaussian rv with mean
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: m and standard deviation σ. In this case, Y is said to be a lognormal pdf. 4. An urn contains 90 \$1 bills, 9 \$5 bills, and 1 \$50 bill. Let the rv X be the denomination of a bill that is selected at random from the urn. Find the mean m of X. What is the interpretation of the mean of X as the break-even price of a ticket for the right to draw a single bill from the urn? 5. Problem 4.39 (p. 219). In order to solve this problem, you need to solve for the parameter “c” in Problem 4.17. 6. Problem 4.48 (p. 219)....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern