Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery willYou    (a) last more than 2.268 years? (b) last fewer than 0.8 years?  (c) last between 1.2 and 2.8 years?

MATLAB: An Introduction with Applications
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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 2 years and a standard deviation of 0.4 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 willYou 

 

(a) last more than 2.268 years?

(b) last fewer than 0.8 years? 

(c) last between 1.2 and 2.8 years?

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