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The waiting time t (in minutes, after placing your order) at the local 'frituur' is given by the density function f(t) = a (9.2-t) (t-6.8) when 6.8 ≤ t ≤9.2 and f(t) = 0 elsewhere. 1. a. Show that a = 125 288 b. Find the mean and the standard deviation for the waiting time. C. It is your unlucky day today: you have just placed your order, but it turns out you are among the 10% of clients served slowest, what does this mean for your waiting time? Also graph the density function and indicate the answer on this graph.

The waiting time t (in minutes, after placing your order) at the local 'frituur' is given by the density function f(t) = a (9.2-t) (t-6.8) when 6.8 ≤ t ≤9.2 and f(t) = 0 elsewhere. 1. a. Show that a = 125 288 b. Find the mean and the standard deviation for the waiting time. C. It is your unlucky day today: you have just placed your order, but it turns out you are among the 10% of clients served slowest, what does this mean for your waiting time? Also graph the density function and indicate the answer on this graph.

MATLAB: An Introduction with Applications
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 waiting time t (in minutes, after placing your order) at the local 'frituur' is given by the density function f(t) = a (9.2-t) (t-6.8) when 6.8 ≤ t ≤9.2 and f(t) = 0 elsewhere. a. Show that a = 125 288 b. Find the mean and the standard deviation for the waiting time. c. It is your unlucky day today: you have just placed your order, but it turns out you are among the 10% of clients served slowest, what does this mean for your waiting time? Also graph the density function and indicate the answer on this graph.
Transcribed Image Text:The waiting time t (in minutes, after placing your order) at the local 'frituur' is given by the density function f(t) = a (9.2-t) (t-6.8) when 6.8 ≤ t ≤9.2 and f(t) = 0 elsewhere. a. Show that a = 125 288 b. Find the mean and the standard deviation for the waiting time. c. It is your unlucky day today: you have just placed your order, but it turns out you are among the 10% of clients served slowest, what does this mean for your waiting time? Also graph the density function and indicate the answer on this graph.
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