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Find the mean, variance, and standard deviation for each of the values of and when the conditions for the binomial distribution are met. Round your answers
to three decimal places as needed.
Part: ,
Part 1 of 4
(a)
Mean:

Ask by Howell Flynn. in the United States
Mar 22,2025

Solución de inteligencia artificial de Upstudy

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Mean: 6.750

Solución

Step 1: Identify the formula for the mean.
For a binomial distribution, the mean is given by
Step 2: Substitute the given values.
Given and , we have
Step 3: Perform the calculation.
Step 4: Round to three decimal places.

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Bonus Knowledge

To find the mean for a binomial distribution, you can use the formula .
For and :
So, the mean .
Now, let’s move on to the variance, which is calculated using the formula .
Rounding this to three decimal places gives us the variance .
Next, the standard deviation is simply the square root of the variance.
Rounding this also to three decimal places gives us .
In summary:
Mean:
Variance:
Standard Deviation:

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