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Q1) Consider lottery in which winning ticket consists of 3 digits randomly selected from 0-9 and suppose that order of numbers doesn't matter. Assume each week you purchase a ticket, and let X be the number of weeks until your first win.

a) Determine the distribution of X? Determine its parameters?

b) Determine the probability you win on fifth week

c) How many weeks do you expect it will take to win.

d) Find out the probability it takes more than 25 weeks to win

e) Given you have not won by 25th week, determine the probability that you win on 28^th week.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9165726

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