1 point) The shelf life of a battery produced by one major company is known to b

Question

1 point) The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 4.3 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 will (a) last between 3.5 and 5.1 years? Answer: (b) last more than 3.9 years? Answer: (c) last fewer than 5.5 years? Answer:

Explanation / Answer

a)as 3.5 and 5.1 falls 2 std deviation away frm mean

Answer: 0.95

b)more than 3.9 year is -1 std deviation above mean ; hence

Answer: 0.84

c)

as 5.5 Years falls 3 std deviation abvoe mean

answer: 0.9985

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