University:
California State University, Northridge
Course:
MATH 340 | Introduction to Probability and Statistics
Academic year:

2015
Views:

304

Pages:

2
Author:

Lipizerh1a

MATH 340, Quiz 5 S�lrbHJ.. Name: (print) _________________ _ Each problem is worth 2 points. Show all your work. 1. If the cumulative distribution function of X is given by 0, 1 2, F(a) = 3 5, 4 5' 9 10' 1, b<0 0:::; a< 1 1:::; a< 2 2:::;a<3 3:::; a<3.5 a 2:: 3.5 calculate the probability mass function of X. [Graph a bar diagram for the PMF.j XE [ C:, {) 2 ) 31 P(X=o) = � = o.s;3 - j_ - 0 P( X = 1) == s2. - P{x:::-2.1/1 3. S"} I s:-- s-- .s::t_ � o. I P(X= 3):::. L /0 ::z '-f' - ::.:. =- o. 2 P(X= J.s) 0. 1 0.1 l =I-*"' o. I ( ,.r '2... 02- 1t 7 X 2. Suppose P(X = 0) = 1- P(X = 1). H JE[X] = 3Var(X), find P(X = 0). P{><==o )-==-p ;, � P(><=!)::::. 1-f • [f-{X):.. o-? -1- f, (1-r) =: 1-f> '-- tla-r (K) <=- IE!x2J -E£(xj = f-;o/- /-t-f?/ t-1 = 3/' {;f�;;) p= r ov --- -,_ 3'r.,. 1 62 ;;, _ �{-r-;) F =f ,:::=:::: Please turn over...