HW8-2 - ECE 302 Homework#8 Due date 3/23...

ECE 302, Homework #8. Due date: 3/23
http://www.ece.purdue.edu/ ∼ chihw/ECE302 07.html
Prof. Chih-Chun Wang
Email: [email protected]/* <![CDATA[ */!function(t,e,r,n,c,a,p){try{t=document.currentScript||function(){for(t=document.getElementsByTagName('script'),e=t.length;e--;)if(t[e].getAttribute('data-cfhash'))return t[e]}();if(t&&(c=t.previousSibling)){p=t.parentNode;if(a=c.getAttribute('data-cfemail')){for(e='',r='0x'+a.substr(0,2)|0,n=2;a.length-n;n+=2)e+='%'+('0'+('0x'+a.substr(n,2)^r).toString(16)).slice(-2);p.replaceChild(document.createTextNode(decodeURIComponent(e)),c)}p.removeChild(t)}}catch(u){}}()/* ]]> */
Office: MSEE354
Office Hours: MWF: 12pm–1pm
TA: Kamesh Krishnamurthy,
Email: [email protected]/* <![CDATA[ */!function(t,e,r,n,c,a,p){try{t=document.currentScript||function(){for(t=document.getElementsByTagName('script'),e=t.length;e--;)if(t[e].getAttribute('data-cfhash'))return t[e]}();if(t&&(c=t.previousSibling)){p=t.parentNode;if(a=c.getAttribute('data-cfemail')){for(e='',r='0x'+a.substr(0,2)|0,n=2;a.length-n;n+=2)e+='%'+('0'+('0x'+a.substr(n,2)^r).toString(16)).slice(-2);p.replaceChild(document.createTextNode(decodeURIComponent(e)),c)}p.removeChild(t)}}catch(u){}}()/* ]]> */
Office: POTR 370
Office Hours: M: 10–11am
TTh: 10:30am–12:30pm
Question 1: Consider X is an exponential random variable with
f
X
( x ) =
(
λe - λx if x ≥ 0
0 if x < 0
.
Find out the mean and the variance of X . Your answer should be the same as that in
Table 3.2, p. 101.
Question 2: Consider a binomial random variable X = Y
1
+ Y
2
+ ··· + Y
n
, where each
Y
i
is independently Bernoulli distributed with parameter p . We know that X is then a
binomial random variable with parameters (