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A charter airiine company has determined from experience that 8% of the people who buy tickets do not show up to the flight. Knowing this, a charter airline sells 24 tickets for a flight that has only 20 seats. The seating is done randomly and when there are no seats left, any remaining tícket holders will not be able to take the flight. (30 Marks) a) What is the probability that every passenger who shows up can take the flight? (20 Marks) b) What is the probability that the flight leaves with at least one empty seat? (10 Marks) Question 2) It is a common practice to have new product designs go through a review process before product. Part of the process is customer review. From historical information: 80% of the high-successful products received a good customer review, 65% of moderately successful products received good customer reviews and 15% of poor products received good customer reviews, In addition, 45% of the company's products are high-successful, 35% of the company's products are moderately successful and 20% of the company's products are poor. (40 Marks) a) What is the probability that a product gets a good review? (10 Marks) b) If a new design does not get a good customer review, what is the probability that it will be high- successful? (15 Marks) c) If a new design gets a good customer review, what is the probability that it will not be high- successful? (15 Marks) (4x + 2y) 2<x< 6,0 < y < 5 for the continuous Question 3) Given the joint pdf fry (x, y) = 0. elsewhere RV X and Y, compute the numerical value of the correlation. (30 Marks) A charter airiine company has determined from experience that 8% of the people who buy tickets do not show up to the flight. Knowing this, a charter airline sells 24 tickets for a flight that has only 20 seats. The seating is done randomly and when there are no seats left, any remaining tícket holders will not be able to take the flight. (30 Marks) a) What is the probability that every passenger who shows up can take the flight? (20 Marks) b) What is the probability that the flight leaves with at least one empty seat? (10 Marks) Question 2) It is a common practice to have new product designs go through a review process before product. Part of the process is customer review. From historical information: 80% of the high-successful products received a good customer review, 65% of moderately successful products received good customer reviews and 15% of poor products received good customer reviews, In addition, 45% of the company's products are high-successful, 35% of the company's products are moderately successful and 20% of the company's products are poor. (40 Marks) a) What is the probability that a product gets a good review? (10 Marks) b) If a new design does not get a good customer review, what is the probability that it will be high- successful? (15 Marks) c) If a new design gets a good customer review, what is the probability that it will not be high- successful? (15 Marks) (4x + 2y) 2<x< 6,0 < y < 5 for the continuous Question 3) Given the joint pdf fry (x, y) = 0. elsewhere RV X and Y, compute the numerical value of the correlation. (30 Marks)
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Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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