Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each standard deviation before attempting to answer the questions. The average life-span of a True Test auto battery is 42 months with a standard deviation of 4 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between and months. 2. We can expect % of the batteries to last less than 30 months. 3. We can expect % of the batteries to last longer than 42 months. 4. We can expect % of the batteries to last between 30 and 38 months. 5. We can expect % of the batteries to last between 42 and 50 months.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Use the Empirical Rule to find the following probabilities. It is suggested that you draw a
normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and
write in the probabilities between each standard deviation before attempting to answer the
questions.
The average life-span of a True Test auto battery is 42 months with a standard deviation of
4 months. Assume a normal distribution.
1. We can expect 95% of the batteries to last between
and
months.
2. We can expect
% of the batteries to last less than 30 months.
3. We can expect
% of the batteries to last longer than 42 months.
4. We can expect
% of the batteries to last between 30 and 38 months.
5. We can expect
% of the batteries to last between 42 and 50 months.
Transcribed Image Text:Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each standard deviation before attempting to answer the questions. The average life-span of a True Test auto battery is 42 months with a standard deviation of 4 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between and months. 2. We can expect % of the batteries to last less than 30 months. 3. We can expect % of the batteries to last longer than 42 months. 4. We can expect % of the batteries to last between 30 and 38 months. 5. We can expect % of the batteries to last between 42 and 50 months.
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