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A bin contains 3 different types of disposable flashlights. The probability that a type A flashlight will give over 100 hours of use is 0.7, type B is 0.4, and type C is 0.3. Suppose that 20 % of the flashlights in the bin are type A, 30% are type B, and 50% are type C. (1) What is the probability that a randomly chosen flashlight will give more than 100 hours of use? (ii) Given that a flashlight lasted over 100 hours, what is the probability that it is of type B?

A bin contains 3 different types of disposable flashlights. The probability that a type A flashlight will give over 100 hours of use is 0.7, type B is 0.4, and type C is 0.3. Suppose that 20 % of the flashlights in the bin are type A, 30% are type B, and 50% are type C. (1) What is the probability that a randomly chosen flashlight will give more than 100 hours of use? (ii) Given that a flashlight lasted over 100 hours, what is the probability that it is of type 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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A bin contains 3 different types of disposable flashlights. The probability that a type A nashlight will give over 100 hours of use is 0.7, type B is 0.4, and type C is 0.3. Suppose that 20 % of the flashlights in the bin are type A, 30% are type B, and 50% are type C. (1) What is the probability that a randomly chosen flashlight will give more than 100 hours of use? (ii) Given that a flashlight lasted over 100 hours, what is the probability that it is of type B?
Transcribed Image Text:A bin contains 3 different types of disposable flashlights. The probability that a type A nashlight will give over 100 hours of use is 0.7, type B is 0.4, and type C is 0.3. Suppose that 20 % of the flashlights in the bin are type A, 30% are type B, and 50% are type C. (1) What is the probability that a randomly chosen flashlight will give more than 100 hours of use? (ii) Given that a flashlight lasted over 100 hours, what is the probability that it is of type B?
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