**Problem Description:**The lengths of a professor’s classes have a continuous uniform distribution between 49.29 minutes and 55.55 minutes. If one such class is randomly selected, find \( P_{53} \).**Solution:**To find \( P_{53} \), which represents the 53rd percentile of the distribution, you would use the formula for the percentile of a uniform distribution:\[ P_k = a + \frac{k}{100} \times (b - a) \]where:- \( a \) is the lower limit of the distribution (49.29 minutes),- \( b \) is the upper limit of the distribution (55.55 minutes),- \( k \) is the percentile you wish to find (53).**Calculation:**\[ P_{53} = 49.29 + \frac{53}{100} \times (55.55 - 49.29) \]**Report Answer:**Make sure to report the answer accurate to 4 decimal places.

Solution: Let X be the length of professor's classes has a continuous uniform distribution between…

Answered: The lengths of a professor's classes…

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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The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min. If one such class is randomly selected, find P53 P53 = (Report answer accurate to 4 decimal places.)