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a. What is the probability that a painting was delivered by Company A and was not damaged? 2.375 b. What is the probability that a painting was damaged during delivery? 0.005 c. Given that a painting was damaged during delivery, what is the probability that it was delivered by Company B?

a. What is the probability that a painting was delivered by Company A and was not damaged? 2.375 b. What is the probability that a painting was damaged during delivery? 0.005 c. Given that a painting was damaged during delivery, what is the probability that it was delivered by Company B?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are two companies that deliver paintings, Company A delivers 40% of the paintings. If a painting is delivered by Company A it has a 5% chance of being damaged during the delivery and if Company B delivers the painting it has a 10% chance of being damaged during delivery. a. What is the probability that a painting was delivered by Company A and was not damaged? 2.375 b. What is the probability that a painting was damaged during delivery? 0.005 c. Given that a painting was damaged during delivery, what is the probability that it was delivered by Company B? 21 d. Make up another question similar to part c. that would require the use of Bayes Theorem to solve.
Transcribed Image Text:There are two companies that deliver paintings, Company A delivers 40% of the paintings. If a painting is delivered by Company A it has a 5% chance of being damaged during the delivery and if Company B delivers the painting it has a 10% chance of being damaged during delivery. a. What is the probability that a painting was delivered by Company A and was not damaged? 2.375 b. What is the probability that a painting was damaged during delivery? 0.005 c. Given that a painting was damaged during delivery, what is the probability that it was delivered by Company B? 21 d. Make up another question similar to part c. that would require the use of Bayes Theorem to solve.
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