Σ 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 frorm 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 pund 45 months. 2. We can expect 0.15 % of the batteries to last less than 30 months. 3. We can expect 0.16 % of the batteries to last longer than 42 months. 4. We can expect % of the batteries to last between 30 and 39 months. 5. We can expect % of the batteries to last between 42 and 48 months. Please answer all parts of the question. pus page Next page %24 6

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Σ
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 frorm 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
pund
45
months.
2. We can expect 0.15
% of the batteries to last less than 30 months.
3. We can expect 0.16
% of the batteries to last longer than 42 months.
4. We can expect
% of the batteries to last between 30 and 39 months.
5. We can expect
% of the batteries to last between 42 and 48 months.
Please answer all parts of the question.
pus page
Next page
%24
6
Transcribed Image Text:Σ 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 frorm 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 pund 45 months. 2. We can expect 0.15 % of the batteries to last less than 30 months. 3. We can expect 0.16 % of the batteries to last longer than 42 months. 4. We can expect % of the batteries to last between 30 and 39 months. 5. We can expect % of the batteries to last between 42 and 48 months. Please answer all parts of the question. pus page Next page %24 6
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