**Problem Statement:**The processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time.**Options:**- a) 0.11- b) 0.30- c) 0.50- d) 0.20**Explanation:**To calculate the probability distribution function for a uniform distribution, use the formula:\[ f(x) = \frac{1}{b-a} \]where \( a \) and \( b \) are the lower and upper bounds of the distribution, respectively.In this case:\[ a = 2, \ b = 7 \]\[ f(x) = \frac{1}{7-2} = \frac{1}{5} = 0.20 \]Therefore, the correct answer is:- d) 0.20

if a random variable X~Uniform distribution(a ,b) f(x)=1b-a ; a≤x≤b0 ;…

Answered: Processing time for a check-in station…

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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Processing time for a check-in station has a uniform distribution of (2, 7) minutes. Calculate the probability distribution function (f(x)) for the random variable X representing the processing time. O a) 0.11 O b) 0.30 O c) 0.50 d) 0.20