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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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**Solve the problem.** 5) At a course in public speaking, the instructor always gives an opening speech that lasts between fifteen and eighteen minutes. The length of the speech can be modeled by a uniform distribution, that is, the speech is just as likely to last fifteen minutes as it is to last eighteen minutes. The probability density curve is shown below. What is the probability that (a) the speech will last at least seventeen minutes and (b) what is the probability that the speech will last between fifteen and sixteen minutes? (Graph Explanation) - The graph demonstrates a uniform probability distribution for speech length ranging from 15 to 18 minutes. - The x-axis represents speech length in minutes, marked from 15 to 19. - The y-axis represents the probability density, marked from 0.00 to 0.30. - The uniform distribution is depicted by a horizontal line at density 0.33 between 15 and 18 minutes, showing that the speech is equally likely to last any amount of time within this interval. (a) P(At least 17 minutes) = (b) P(15 ≤ X ≤ 16) =
Transcribed Image Text:**Solve the problem.** 5) At a course in public speaking, the instructor always gives an opening speech that lasts between fifteen and eighteen minutes. The length of the speech can be modeled by a uniform distribution, that is, the speech is just as likely to last fifteen minutes as it is to last eighteen minutes. The probability density curve is shown below. What is the probability that (a) the speech will last at least seventeen minutes and (b) what is the probability that the speech will last between fifteen and sixteen minutes? (Graph Explanation) - The graph demonstrates a uniform probability distribution for speech length ranging from 15 to 18 minutes. - The x-axis represents speech length in minutes, marked from 15 to 19. - The y-axis represents the probability density, marked from 0.00 to 0.30. - The uniform distribution is depicted by a horizontal line at density 0.33 between 15 and 18 minutes, showing that the speech is equally likely to last any amount of time within this interval. (a) P(At least 17 minutes) = (b) P(15 ≤ X ≤ 16) =
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