Given that X is a continuous random variable that has a uniform probabilitydistribution, and 0 < X < 9:a. Calculate P(X<4) (to 3 significant digits).P(X<4)=8b. Determine the mean (u) and standard deviation (o) of the distribution (to 3significant digits).O↑SUBMIT QUESTIONSAVE PROGRESS12

GivenA random variable x ~Uniform(0,9)f(x)=1b-a ; a<x<bf(x)=19-0 f(x)=19…

Answered: Given that X is a continuous random…

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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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i

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Given that X is a continuous random variable that has a uniform probability distribution, and 0 < X < 9: a. Calculate P(X<4) (to 3 significant digits). P(X<4) = b. Determine the mean (u) and standard deviation (o) of the distribution (to 3 significant digits). J _ QUESTION