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2. (Rosner book – Page 109, Q: Cancer, Epidemiology) An experiment is designed to test the potency drug on 20 rats. Previous animal studies have shown that a 10 – mg dose of the drug is lethal 5% o within the first 4 hours; of the animals alive at 4 hours, 10% will die in the next 4 hours. a. What is the probability that 3 or more rats will die in the first 4 hours? b. Suppose 2 rats die in the first 4 hours. What is the probability that 2 or fewer rats will die in 4 hours? c. What is the probability that 0 rats will die in the 8 – hour period? Hint: You will need to fin new probability of success based on a rat dying in an 8 – hour period. Before you were loo 4 and 4 hour period. To help you find your new probability of success use the formula belo will die in an 8-hour period) = P(rat will die in the first 4 hours) + P(rat will die in the sec hours | rat is alive after the first 4 hours) * P(rat is alive after the first 4 hours) d. What is the probability that 1 rat will die in the 8 – hour period? What is tbe probability that 2 rats will die in the 8 hour period?

2. (Rosner book – Page 109, Q: Cancer, Epidemiology) An experiment is designed to test the potency drug on 20 rats. Previous animal studies have shown that a 10 – mg dose of the drug is lethal 5% o within the first 4 hours; of the animals alive at 4 hours, 10% will die in the next 4 hours. a. What is the probability that 3 or more rats will die in the first 4 hours? b. Suppose 2 rats die in the first 4 hours. What is the probability that 2 or fewer rats will die in 4 hours? c. What is the probability that 0 rats will die in the 8 – hour period? Hint: You will need to fin new probability of success based on a rat dying in an 8 – hour period. Before you were loo 4 and 4 hour period. To help you find your new probability of success use the formula belo will die in an 8-hour period) = P(rat will die in the first 4 hours) + P(rat will die in the sec hours | rat is alive after the first 4 hours) * P(rat is alive after the first 4 hours) d. What is the probability that 1 rat will die in the 8 – hour period? What is tbe probability that 2 rats will die in the 8 hour period?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. (Rosner book – Page 109, Q: Cancer, Epidemiology) An experiment is designed to test the potency of a drug on 20 rats. Previous animal studies have shown that a 10 – mg dose of the drug is lethal 5% of the time within the first 4 hours; of the animals alive at 4 hours, 10% will die in the next 4 hours. a. What is the probability that 3 or more rats will die in the first 4 hours? b. Suppose 2 rats die in the first 4 hours. What is the probability that 2 or fewer rats will die in the next 4 hours? c. What is the probability that 0 rats will die in the 8 – hour period? Hint: You will need to find your new probability of success based on a rat dying in an 8 – hour period. Before you were looking at a 4 and 4 hour period. To help you find your new probability of success use the formula below: P (rat will die in an 8-hour period) = P(rat will die in the first 4 hours) + P(rat will die in the second 4 hours | rat is alive after the first 4 hours) * P(rat is alive after the first 4 hours) d. What is the probability that 1 rat will die in the 8 – hour period? e. What is the probability that 2 rats will die in the 8 – hour period?
Transcribed Image Text:2. (Rosner book – Page 109, Q: Cancer, Epidemiology) An experiment is designed to test the potency of a drug on 20 rats. Previous animal studies have shown that a 10 – mg dose of the drug is lethal 5% of the time within the first 4 hours; of the animals alive at 4 hours, 10% will die in the next 4 hours. a. What is the probability that 3 or more rats will die in the first 4 hours? b. Suppose 2 rats die in the first 4 hours. What is the probability that 2 or fewer rats will die in the next 4 hours? c. What is the probability that 0 rats will die in the 8 – hour period? Hint: You will need to find your new probability of success based on a rat dying in an 8 – hour period. Before you were looking at a 4 and 4 hour period. To help you find your new probability of success use the formula below: P (rat will die in an 8-hour period) = P(rat will die in the first 4 hours) + P(rat will die in the second 4 hours | rat is alive after the first 4 hours) * P(rat is alive after the first 4 hours) d. What is the probability that 1 rat will die in the 8 – hour period? e. What is the probability that 2 rats will die in the 8 – hour period?
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