Question
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Find the mean, variance, and standard deviation of the binomial distribution with the given values of and .

The mean, , is 56.0 . (Round to the nearest tenth as needed.)
The variance, , is . (Round to the nearest tenth as needed.)

Ask by Martin Lindsey. in the United States
Jan 21,2025

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Answer

The variance ( ) is 16.8.

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Mind Expander

To find the variance of a binomial distribution, you can use the formula:
Substituting in the given values and :
So, the variance, rounded to the nearest tenth, is .
Next, to find the standard deviation , we take the square root of the variance:
In summary, the mean is , the variance is , and the standard deviation is approximately .

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