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loris [4]
2 years ago
10

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of

6 hours. What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
Mathematics
1 answer:
musickatia [10]2 years ago
5 0

Answer:

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

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