Empirical Rule Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the r-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 39 months with a standard deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 34 X and 50 x months. 2. We can expect 99.7 x % of the batteries to last less than 30 months. 3. We can expect 50 x % of the batteries to last longer than 42 months. 4. We can expect 15.85 x % of the batteries to last between 30 and 39 months. 5. We can expect 47.5 x % of the batteries to last between 42 and 48 months.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Empirical Rule
Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the r-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 39 months with a standard deviation of 3 months. Assume a normal distribution.
1. We can expect 95% of the batteries to last between 34
x and
50
x months.
2. We can expect
99.7
x % of the batteries to last less than 30 months.
3. We can expect
50
x % of the batteries to last longer than 42 months.
4. We can expect
15.85
x % of the batteries to last between 30 and 39 months.
5. We can expect 47.5
x % of the batteries to last between 42 and 48 months.
Transcribed Image Text:Empirical Rule Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the r-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 39 months with a standard deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 34 x and 50 x months. 2. We can expect 99.7 x % of the batteries to last less than 30 months. 3. We can expect 50 x % of the batteries to last longer than 42 months. 4. We can expect 15.85 x % of the batteries to last between 30 and 39 months. 5. We can expect 47.5 x % of the batteries to last between 42 and 48 months.
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