What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41 b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41 b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

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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Question

One bottle contains 3 different types of disposable flashlights. The probability that a type 1 flashlight lasts more than 100 hours is 0.7, with corresponding probabilities for type 2 and type 3 flashlights of 0.4 and 0.3, respectively. Suppose 20 percent of the flashlights in the boat are type 1, 30 percent are type 2, and 50 percent are

percent are type 3.

a) What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41

b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

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