Question
Asked Oct 26, 2019
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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 53 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 37 and 53?

Do not enter the percent symbol.
ans =  %

34% 34%
2.35%
2.35%
0.15%
13.5%
0.15%
13.5%
μ-3σ μ-2σ μ-σ
μ+σ μ+2σ μ+3σ
μ
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34% 34% 2.35% 2.35% 0.15% 13.5% 0.15% 13.5% μ-3σ μ-2σ μ-σ μ+σ μ+2σ μ+3σ μ

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Expert Answer

Step 1

Solution: We are given that the distribution of the number of daily requests is bell-shaped and has a mean of 53 and a standard deviation of 8.

 

Step 2

We are required to find the approximate percentage of lightbulb replacement requests numbering between 37 and 53.

 

Step 3

The empirical rule of the normal distribution states:

68% of data lies within one standard deviations of the mean

95% of data lies within two standard deviations of the mean

99.7% o...

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34% 34% 2.35% 2.35% 0.15% 0.15% 13.5% 13.5% μ-3σ μ-2σ μ-σ μσ μ+2σ μ+3σ

fullscreen

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Math

Statistics

Measures

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