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)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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