StatChapter04: Problem 11 Previous Problem Problem List Next Problem (1 point) A

Question

StatChapter04: Problem 11 Previous Problem Problem List Next Problem (1 point) A convenience store receives a shipment of 2068 scratch-and-win lottery tickets. It is known that 10 of these 2068 tickets are “winners", the person who buys such a ticket receives a monetary prize. Suppose you purchase a set of 18 tickets (and can assume this to be a Simple Random Sample from the tickets in the shipment). a. What is the probability that none of your tickets is a winner? Answer: b. What is the probability that at least one your tickets is a winner? Answer: c. What is the probability that more than one of your tickets is a winner? Answer: (Round each answer to at least four decimal places.) Note: You can earn partial credit on this problem.

Explanation / Answer

p(winner)=p=10/2068=0.004836

N is 18

This is a case of binomial distribution

a) P(x=0)=BINOM.DIST(0,18,0.004836,FALSE)=0.9164

b) P(x>=1)=1-P(x=0)=1-0.9164 = 0.0836

c) P(x>1)=1-P(x<=1)=1-BINOM.DIST(1,18,0.004836,TRUE)=0.003398549

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