A company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. what is the approximate number of light bulbs that fall within two standard deviations from the mean?

Question

Mathematics

Nelson Mendez

8 May, 13:15

A company observes the lifespan of 560 lightbulbs and finds that their data follows a normal distribution. what is the approximate number of light bulbs that fall within two standard deviations from the mean?

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River · Answer 1

Empirical rule can be used to estimate the number of values that lie with 1, 2 or 3 standard deviations of a Normally distributed population.

According to the empirical rule, 95% of the values lie within 2 standard deviations of the mean.

Total number of bulbs = n = 560

95% of n = 0.95 x 560 = 532

This means, 532 bulbs will lie within 2 standard deviations from the mean