Question
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.)
The mean,
The variance,
Ask by Martin Lindsey. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The variance (
) is 16.8.
Solution

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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
.