Market researchers are interested in what convinces people to stay for a long time in a shop. If T is the amount of time a random person spends in the shop, they estimate the probability density function of T to be f(x) = { sin (5x) : 0
Market researchers are interested in what convinces people to stay for a long time in a shop. If T is the amount of time a random person spends in the shop, they estimate the probability density function of T to be f(x) = { sin (5x) : 0
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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Transcribed Image Text:Market researchers are interested in what convinces people to stay for a long time in a shop. If T is the amount
of time a random person spends in the shop, they estimate the probability density function of T to be
f(æ) = { sin () :
: 0<x< 40
Using the symmetry of f(x), we can find the expected value of T without a long computation:
ЕT) —
The researchers plan on asking customers for an interview if their stay in the store is more than one standard
deviation longer than the expected value of T, or more than one standard deviation shorter.
The researchers, therefore, will ask a customer for an interview if the time they spend in the store is greater than
or less than
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Before you submit your answer, think about whether it makes sense in the context of the experiment.
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