MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Answer #4. Incude explanation.

Given: The length (X) of reticulated pythons follows a normal distribution with mean 16 feet and a standard deviation of 4 feet. Medusa, a snake-farm owner, asked Zuma, her caretaker to randomly select 35 reticulated pythons from a pool of pythons and record their lengths. 1. Which of the following is(are) TRUE? I. P[X > 16] = 0.50 II. The sample mean length is normal with the mean of 16 feet and a variance of 0.6761 sq. ft. A. I only B. Il only C. Both I and | D. Neither I nor II 2. The probability that a randomly selected reticulated python has a length between 4 feet and 28 feet is A. 68% В. 95% C. 99.7% D. 100% 3. The probability that the sample mean length of the reticulated pythons in Medusa's snake farm is no less than 17 feet is A. 0.0694 B. 0.4013 C. 0.5987 D. 0.9306 4. The lifetime (X) of an alkaline battery is exponentially distributed with A = 0.05 per hour. A manufacturer conducted a study and randomly selected 40 alkaline batteries. In the long run, the expected lifetime of an alkaline battery is hours. * A. 0.00125 B. 0.05 С. О.5 D. 20
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Transcribed Image Text:Given: The length (X) of reticulated pythons follows a normal distribution with mean 16 feet and a standard deviation of 4 feet. Medusa, a snake-farm owner, asked Zuma, her caretaker to randomly select 35 reticulated pythons from a pool of pythons and record their lengths. 1. Which of the following is(are) TRUE? I. P[X > 16] = 0.50 II. The sample mean length is normal with the mean of 16 feet and a variance of 0.6761 sq. ft. A. I only B. Il only C. Both I and | D. Neither I nor II 2. The probability that a randomly selected reticulated python has a length between 4 feet and 28 feet is A. 68% В. 95% C. 99.7% D. 100% 3. The probability that the sample mean length of the reticulated pythons in Medusa's snake farm is no less than 17 feet is A. 0.0694 B. 0.4013 C. 0.5987 D. 0.9306 4. The lifetime (X) of an alkaline battery is exponentially distributed with A = 0.05 per hour. A manufacturer conducted a study and randomly selected 40 alkaline batteries. In the long run, the expected lifetime of an alkaline battery is hours. * A. 0.00125 B. 0.05 С. О.5 D. 20
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