Assignment1 - STA 3032 Section 7661-Fall 2011 Assignment 1...

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STA 3032 - Section 7661 -Fall 2011 Assignment 1 This Assignment is worth 50 points and will be due in class on Friday September 30th . You are expected to show all work, and explain steps with sentences where necessary. Assignments must be done in a neat and professional manner. Illegible work will not receive any credit. 1. The following questions are related to the hypergeometric distribution: a discrete dis- tribution covered in the textbook (Section 5.7) but skipped in class. (a) A lottery game has the following rules: pick 6 distinct numbers from a set of 49. The grand prize winner picks 6 numbers out of 6 correctly. Use the fundamen- tal theorem of counting and combinatorics to solve and justify your answers to questions (i) and (ii): (i) What is the probability of winning the grand prize? (ii) What is the probability of getting 4 numbers out of 6 correctly? (b) Part (a) can also be solved using the hypergeometric distribution. The pmf is given by f ( y ; k,n,N ) = P ( Y = y ) = ( k
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Assignment1 - STA 3032 Section 7661-Fall 2011 Assignment 1...

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