4. ACME ships widgets from two distribution centers Chicago and Houston. Its DC in Chicago ships 62.5% of all widgets, while its DC in Houston handles the rest. Of those widgets shipped from Chicago, 21% are delivered directly to the consumer. Of the widgets shipped from Houston, 48% are delivered directly to the consumer. What is the likelihood a randomly selected widget was shipped from Houston given it was delivered directly to the consumer?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 4 - Bayes’ Theorem Please solve the problem with simple probability rules
4. ACME ships widgets from two distribution centers Chicago and Houston. Its DC in Chicago ships 62.5% of all widgets,
while its DC in Houston handles the rest. Of those widgets shipped from Chicago, 21% are delivered directly to the
consumer. Of the widgets shipped from Houston, 48% are delivered directly to the consumer. What is the likelihood a
randomly selected widget was shipped from Houston given it was delivered directly to the consumer?
Transcribed Image Text:4. ACME ships widgets from two distribution centers Chicago and Houston. Its DC in Chicago ships 62.5% of all widgets, while its DC in Houston handles the rest. Of those widgets shipped from Chicago, 21% are delivered directly to the consumer. Of the widgets shipped from Houston, 48% are delivered directly to the consumer. What is the likelihood a randomly selected widget was shipped from Houston given it was delivered directly to the consumer?
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