82. The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x) =E where x goesfrom 25 to 45 minutes.a. Define the random variable. X =b. X-c. Graph the probability distribution.d. The distribution is(name of distribution). It is(discrete or continuous).e. µ=f. o =g. Find the probability that the time is at most 30 minutes. Sketch and label a graph of the distribution. Shade thearea of interest. Write the answer in a probability statement.h. Find the probability that the time is between 30 and 40 minutes. Sketch and label a graph of the distribution.Shade the area of interest. Write the answer in a probability statement.i. P(25 < x< 55) = ,find the probability.j. Find the 90ª percentile. This means that 90% of the time, the time is less than ,k. Find the 75th percentile. In a complete sentence, state what this means. (See part j.)I. Find the probability that the time is more than 40 minutes given (or knowing that) it is at least 30 minutes.State this in a probability statement, similarly to parts g and h, draw the picture, andminutes.

Answered: Image /qna-images/answer/80431044-6ad3-44a8-8ff4-1ad5915d7b10.jpg

Answered: 82. The time (in minutes) until the…

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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82. The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x) * where x goes 20 from 25 to 45 minutes. a. Define the random variable. X = b. X~. c. Graph the probability distribution.