# Exam1B - STAT 408 Spring 2009 Version B Name AD1 34 AD2 45...

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STAT 408 Spring 2009 Name _________________________ AD1 AD2 AD3 Version B 3 – 4 4 – 5 2 – 3 Exam 1 Please circle your discussion section. Be sure to show all your work; your partial credit might depend on it. No credit will be given without supporting work. The exam is closed book and closed notes. You are allowed to use a calculator and one 8½" x 11" sheet with notes on it. Page 1 2 3 4 5 6 Total Possible 10 9 10 11 10 10 60 Earned

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Page 1 of 6 1. Suppose the moment-generating function of a random variable X is ( 29 t t e e t 5 2 X 1 . 0 6 . 0 3 . 0 M + + = . a) (3) Find the probability P ( X 3 ). Answer: __________. b) (3) Find the expected value of X, E ( X ). Answer: __________. c) (4) Find the variance of X, Var ( X ). Answer: __________.
Page 2 of 6 2. Alex sets two alarm clocks each night to ensure that he does not sleep through his 9:00 a.m. class. His primary clock properly sounds its alarm on 80% of the mornings, while his secondary clock rings its bell on only 70% of mornings. Assume the clocks operate independently.

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## This note was uploaded on 04/27/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.

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Exam1B - STAT 408 Spring 2009 Version B Name AD1 34 AD2 45...

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