The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.7 years and a standard deviation of 0.8 years. This problem uses the expanded empirical rule. The rule adds one additional part to the standard 68-95-99.7 values. The expanded empirical rule tells us that 50% of the distribution falls between a z-score of -0.67 and a z-score of +0.67. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will (a) last more than 6.1 years? Answer: (b) last fewer than 2.9 years? Answer: (C) last between 3.164 and 4.236 years? Answer:

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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 3.7 years and a
standard deviation of 0.8 years.
This problem uses the expanded empirical rule. The rule adds one additional part to the standard 68-95-99.7 values. The expanded empirical
rule tells us that 50% of the distribution falls between a z-score of -0.67 and a z-score of +0.67.
Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will
(a) last more than 6.1 years?
Answer:
(b) last fewer than 2.9 years?
Answer:
(C) last between 3.164 and 4.236 years?
Answer:
Transcribed Image Text:The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.7 years and a standard deviation of 0.8 years. This problem uses the expanded empirical rule. The rule adds one additional part to the standard 68-95-99.7 values. The expanded empirical rule tells us that 50% of the distribution falls between a z-score of -0.67 and a z-score of +0.67. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will (a) last more than 6.1 years? Answer: (b) last fewer than 2.9 years? Answer: (C) last between 3.164 and 4.236 years? Answer:
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