Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the z-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 38 and 46 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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 **38** and **46** 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 **38** and **46** 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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