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8) Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II, III) denotes that the battery of type I fails first, the battery of type II next, and the battery of type III lasts the longest. The probabilities of the six outcomes are given in the following figure. What is the probability that (a) the type I battery lasts longest? (b) the type I battery lasts shortest? (c) the type I battery does not last longest? (d) the type I battery lasts longer than the type II battery? S (I, II, III) (I, III, II) 0.11 0.07 (II, I, III) (II, III, I) 024 0.39 (III, I, II) (III, II, I) 0.16 0.03

8) Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II, III) denotes that the battery of type I fails first, the battery of type II next, and the battery of type III lasts the longest. The probabilities of the six outcomes are given in the following figure. What is the probability that (a) the type I battery lasts longest? (b) the type I battery lasts shortest? (c) the type I battery does not last longest? (d) the type I battery lasts longer than the type II battery? S (I, II, III) (I, III, II) 0.11 0.07 (II, I, III) (II, III, I) 024 0.39 (III, I, II) (III, II, I) 0.16 0.03

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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8) Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II, III) denotes that the battery of type I fails first, the battery of type II next, and the battery of type III lasts the longest. The probabilities of the six outcomes are given in the following figure. What is the probability that (a) the type I battery lasts longest? (b) the type I battery lasts shortest? (c) the type I battery does not last longest? (d) the type I battery lasts longer than the type II battery? S (I, II, III) (I, III, II) 0.11 0.07 (II, I, III) (II, III, I) 0.24 0.39 (III, I, II) (II, II, I) 0.16 0.03
Transcribed Image Text:8) Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II, III) denotes that the battery of type I fails first, the battery of type II next, and the battery of type III lasts the longest. The probabilities of the six outcomes are given in the following figure. What is the probability that (a) the type I battery lasts longest? (b) the type I battery lasts shortest? (c) the type I battery does not last longest? (d) the type I battery lasts longer than the type II battery? S (I, II, III) (I, III, II) 0.11 0.07 (II, I, III) (II, III, I) 0.24 0.39 (III, I, II) (II, II, I) 0.16 0.03
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