**Question 3: Exponential Probability Distribution**The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. What is the probability that the arrival time between customers will be 7 minutes or less?- ○ 0.5034- ○ 0.6651- ○ 0.3421- ○ 0.4006*Explanation:*This problem involves understanding exponential probability distributions, which is commonly used to model time between events. With a mean of 10 minutes, the task is to calculate the probability that the interval between customer arrivals is 7 minutes or less. To solve this, apply the cumulative distribution function (CDF) for an exponential distribution.

GivenMean =10θ=110A random variable x~Eponential(θ=110)P(X=x)=110e-x10 ; x≥0The cumulative…

Answered: 3. The time between arrivals of…

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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Answer D

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3. The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. What is the probability that the arrival time between customers will be 7 minutes or less? .5034 O.6651 .3421 .4006