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

Question

2 years ago

10

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

1 answer:

musickatia [10] · Answer 1 · 2022-10-17T17:24:32+03:00

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.