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?
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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c1a9e8-096b-4fde-a3f9-c0ea42610dcd%2F60fa37fa-0c99-4bfa-a75c-11484f847968%2Fayk3ed_processed.jpeg&w=3840&q=75)
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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