Empirical Rule 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 53 x and 45 x months. 2. We can expect 0.15 V % of the batteries to last less than 30 months. 3. We can expect x % of the batteries to last longer than 42 months. 16 4. We can expect 49.85 x % of the batteries to last between 30 and 38 months. 5. We can expect 15.85 x % of the batteries to last between 42 and 50 months. Normal Distributions A+ 58° f6 ( f7 0 18 19 O no f11

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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 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
53
x and 45
xmonths.
2. We can expect 0.15
V % of the batteries to last less than 30 months.
3. We can expect
x % of the batteries to last longer than 42 months.
16
4. We can expect 49.85
x % of the batteries to last between 30 and 38 months.
5. We can expect 15,85
x % of the batteries to last between 42 and 50 months.
Normal Distributions
A+
58°
f6
f7
18 19 O
no
f11
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 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 53 x and 45 xmonths. 2. We can expect 0.15 V % of the batteries to last less than 30 months. 3. We can expect x % of the batteries to last longer than 42 months. 16 4. We can expect 49.85 x % of the batteries to last between 30 and 38 months. 5. We can expect 15,85 x % of the batteries to last between 42 and 50 months. Normal Distributions A+ 58° f6 f7 18 19 O no f11
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