MAT521-2006Spring - May 4 ,2006 "'nd.-OO" M AT 5 21, F inal...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
May 4,2006 ¥"'nd.-OO" MAT 521, Final Exam ~CCl~ NAME: Instructions: There are 9 problems in this exam for a grand total of 90 points. Each problem is worth about 10 points. Be sure to show your work and explain your reasoning. In general, incomplete or incorrect answers may receive no credit. 1. (12 points) Let X be a random variable with probability density function l<x<oo fix) = { :' otherwise. (a) Find Pr(X :s; 2). (b) Find E(X) and Var(X).
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 . 1 (c) Let Y = X. Find the probability density function of Y. Be sure your answer is complete! 2. (10 points) A random variable X has distribution function F(x) = 1 - e- z / 5 for -00 < x < 00. (Do not simplify your answer.) Find Pr(5 < X < 10) and also the p.d.f. of X.
Background image of page 2
3.- (8 points) A random variable X has mean 5 and variance 16. Find numbers a and b such that Y has X-a mean 0 and variance 1, where Y = b 4. (10 points) There are 20 rotted apples in a crate containing 100. Someone picks at random a sample of 20 and without replacement. What is the probability
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/16/2011 for the course MATH 521 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.

Page1 / 7

MAT521-2006Spring - May 4 ,2006 "'nd.-OO" M AT 5 21, F inal...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online