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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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