This problem continues the lottery of 3.7.10 in 'vhich

Chapter 9, Problem 9.28

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This problem continues the lottery of 3.7.10 in 'vhich each ticket has 6 randomly marked numbers out of 1, ... , 46. A ticket is a 'vinner if the six marked numbers match 6 numbers drawn at random at the end of a week. Suppose that following a 'veek in 'vhich the pot carried over 'vas r dollars, the number of tickets sold in that 'veek, J{, is the Poisson (r) random variable. \i\fhat is the PMF of the number of winning tickets? Hint: What is the probability q that an arbitrary ticket is a winner?

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