The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.8 years and a standard deviation of 0.4 years. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will (a) last between 2.6 and 5 years? Answer: 99.6 (b) last fewer than 3.4 years? Answer: 15.8 (c) last more than 4.6 years?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.8 years and a standard deviation of 0.4 years. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will

 

(a) last between 2.6 and 5 years?

Answer: 

99.6

(b) last fewer than 3.4 years?

Answer: 

15.8

(c) last more than 4.6 years?

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