chap2 prob13 question

# chap2 prob13 question - School of Mathematics MATH1715:...

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School of Mathematics MATH1715: Introduction to Probability Session 2008/2009 Homework III The work is handed out in Lecture 10 (i.e., on Thursday/Friday 30/31 October 2008) and should be handed in to your tutor by Lecture 14 (i.e., by Thursday/Friday 13/14 November 2008). Please staple your work if necessary. No ﬁles or folders, please! All the questions H3.1 – H3.5 count towards continuous assessment. You can collaborate with other students, but the work that you hand in must be done independently . Serious consequences will result if copying is detected. H3.1. Let X be a random variable with probability mass function p X ( x ) given by x - 3 - 1 0 1 2 3 5 8 p X ( x ) 0 . 1 0 . 2 0 . 15 0 . 2 0 . 1 0 . 15 0 . 05 0 . 05 (a) Verify that p X ( x ) determines a probability distribution. (b) Evaluate the probabilities P (1 X 4) ; P ( X is negative ) ; P ( X 3 | X > 0) . (c) Find the probability mass function
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## This note was uploaded on 09/24/2009 for the course IE 221 taught by Professor Georgewilson during the Spring '08 term at Lehigh University .

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