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Concept explainers
(a)
To calculate: The probability that the time for a randomly selected lab rat to complete the maze is more than
(b)
To calculate: The probability that the time for a randomly selected lab rat to complete the maze is more than
(c)
To calculate: The probability that the time for a randomly selected lab rat to complete the maze is more than
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Chapter 13 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious problem in hemlock trees. Researchers have developed the following function that estimates the probability P that a given hemlock tree has ring shake: P(A,B,D)=11+e3.680.016A0.77B0.12D where A is the age of the tree yr, B is 1 if bird pecking is present and 0 otherwise, and D is the diameter in. of the tree at breast height. Source: Forest Products Journal. a. Estimate the probability that a 150-year-old tree with bird pecking present and a breast height diameter of 20in., will have ring shake. b. Estimate the probability that a 150-year-old tree, with no presence of bird pecking and a breast height diameter of 20in., will have ring shake. c. Develop a statement about what can be said about the influence have on the probability of ring shake. d. Using the total differential, estimate the probability if the actual age of the tree was 160 years and the diameter at breast height was 25in., Assume that no bird pecking was present. Compare your answer to the actual value. Hint: Assume that B=0 and exclude that variable from your calculations e. Comment on the practicality of using differentials in part d.arrow_forwardConditional probability About 25 of the population watches the evening television news coverage as well as the soap operas. If 75 of the population watches the news, what percent of those who watch the news also watch the soaps?arrow_forward
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