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 0.7 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 2.2 years? Answer: (b) last fewer than 3.6 years? Answer: (c) last between 3.831 and 4.769 years? Answer:

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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
4.3 years and a standard deviation of 0.7 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 2.2 years?
Answer:
(b) last fewer than 3.6 years?
Answer:
(c) last between 3.831 and 4.769 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 4.3 years and a standard deviation of 0.7 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 2.2 years? Answer: (b) last fewer than 3.6 years? Answer: (c) last between 3.831 and 4.769 years? Answer:
The combined math and verbal scores for students taking a national standardized examination for college
admission, is normally distributed with a mean of 580 and a standard deviation of 300. If a college requires a student to be in
the top 30 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for
admission at the college?
answer:(round to the nearest integer)
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Transcribed Image Text:The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 580 and a standard deviation of 300. If a college requires a student to be in the top 30 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college? answer:(round to the nearest integer) Preview My Answers Submit Answers
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