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 39 months with a standard deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 33 V and 45 v months. 2. We can expect 15 x % of the batteries to last less than 30 months. 3. We can expect 16 v % of the batteries to last longer than 42 months. 4. We can expect 49.865 x % of the batteries to last between 30 and 39 months. 5. We can expect 15.865 x % of the batteries to last between 42 and 48 months.
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 39 months with a standard deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 33 V and 45 v months. 2. We can expect 15 x % of the batteries to last less than 30 months. 3. We can expect 16 v % of the batteries to last longer than 42 months. 4. We can expect 49.865 x % of the batteries to last between 30 and 39 months. 5. We can expect 15.865 x % of the batteries to last between 42 and 48 months.
MATLAB: An Introduction with Applications
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
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 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 39 months with a standard deviation of 3 months. Assume a normal
distribution.
1. We can expect 95% of the batteries to last between
33
V and
45
months.
2. We can expect
15
x % of the batteries to last less than 30 months.
3. We can expect 16
v % of the batteries to last longer than 42 months.
4. We can expect 49.865
x % of the batteries to last between 30 and 39 months.
5. We can expect
15.865
x % of the batteries to last between 42 and 48 months.
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