Nair,Rejesh-secondExam (1)

# Nair,Rejesh-secondExam (1) - Problem 1 2 3 4 5 6 7 8 Earned...

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Problem Value Earned 1 12 12 2 12 12 3 12 12 4 12 12 5 13 9 6 13 11 7 13 13 8 13 13 Total 100 94 Problem 1) The following data was collected based on a random sample 1000 tourists visiting a small souvenir shop in the Bahamas. Age 16-25 26-45 >=46 Total Bought Souvenirs 140 180 80 400 Didn't Buy Souvenirs 210 270 120 600 Total 350 450 200 1000 a) What is the probability that a randomly chosen person bought a souvenir? 0.4 b) What is the probability that a random person older than 45 bought a souvenir? 0.4 c) Based on your answers to a) and b) can you concluded that buying a souvenir is independent of age? Justify your answer. It is independent of age because the probablity of a and b are sa d) For each age group, compute the probability of buying a souvenir. Age group Prob 16-25 0.4 26-45 0.4

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>=46 0.4
ame(0.4) irrespective of their ages.

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Problem 2) A company receives a large shipment of computer processor chips. The company do quality control check by taking a random sample of 20 chips. If 3 or fewer of these ar defective, the company accepts the shipment. a) Assume that 10% of the chips in the shipment are defective. What is the probability the company will reject the shipment? p(x>=4)=1-p(x<=3) p(x<=3) 0.87 1-p(x<=3) 0.13 b) Assume that 20% of the chips in the shipment are defective. What is the probability the company will reject the shipment? p(x>=4)=1-p(x<=3) p(x<=3) 0.41 1-p(x<=3) 0.59 c) Assume that 30% of the chips in the shipment are defective. What is the probability the company will reject the shipment? p(x>=4)=1-p(x<=3) p(x<=3) 0.11 1-p(x<=3) 0.89

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Problem 3) A baseball team makes an average of 1.3 errors per game. Assuming the number of errors follows the Poisson distribution; a) What is the probability that the team makes no error in a game? mean 1.3 0.27 b) What is the probability that they make fewer than five errors in five games? mean 6.5 0.22 c) What is the probability that then make more than five errors in 10 games?

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## This note was uploaded on 10/02/2011 for the course MIS 6312 taught by Professor Wiorkowski during the Spring '11 term at University of Texas at Dallas, Richardson.

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Nair,Rejesh-secondExam (1) - Problem 1 2 3 4 5 6 7 8 Earned...

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