quiz5an - Name: Quiz #5 Ddath 310-1(re412010) 1. Let X be a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: Quiz #5 Ddath 310-1(re412010) 1. Let X be a Poisson distributed random variable with parameter A > 0. (a) Compute the expectation E(X 0" ,L ‘ L" u/L 00 r“ Em: a x5”,— ={ 2m x50 ' XII % = ,6. ‘A‘e/L: A (b) Compute E(2X). 00 , f: X, X—l/LJ‘, -l~(,_2,t) )' W‘ezwfi X50 XIO “" WL Z/L / ,L? C- “ a 5 +3, 2. Let Y be a. geometrically distributed random variable with parameter p, O < p < 1. (Think of Y as measuring the number of failures until first success in an infinite sequence of independent Bernoulli trials.) (at) For WhiCh Values 0f 39 does Z = 2y have finite expectation? _ . (90 3 ._. ‘. EKZyl' 2 Z [/‘fl‘f a z 0 5 § 0 €493 (an wafer emf Glee/é] 6% =3 paw/<1 :3 1794’}, Z w! (b) Compute E(2Y) (provided it exists). ...
View Full Document

This note was uploaded on 01/03/2012 for the course MATH 310-1 taught by Professor Sarver during the Spring '11 term at Northwestern.

Page1 / 2

quiz5an - Name: Quiz #5 Ddath 310-1(re412010) 1. Let X be a...

This preview shows document pages 1 - 2. Sign up to view the full document.

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