DOC PREVIEW
UIUC
STAT 400 -
400Ex3_2
School name
University of Illinois at Urbana, Champaign
Pages 2
Unformatted text preview:
View Full Document
STAT 400 Lecture AL1 Spring 2015 Dalpiaz Examples for 3 2 Part 1 Uniform Distribution over an interval a b For Uniform distribution P c X d d c b a a c d b E X a b 2 Var X b a 2 12 Exponential Distribution f x 1 e x E X Var X 2 0 for x 0 otherwise f x e x for x 0 0 otherwise E X 1 Var X 1 2 1 Suppose the lifetime of a particular brand of light bulbs is exponentially distributed with mean of 400 hours a Find the probability that a randomly selected light bulb would last over 500 hours b Find the probability that 3 out of 7 randomly selected light bulbs would last over 500 hours c Find the probability that a randomly selected light bulb would last between 300 hours and 800 hours
View Full Document
Unlocking...