Question
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:
to three decimal places as needed.
Part:
Part 1 of 4
(a)
Mean:
Ask by Howell Flynn. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mean: 6.750
Solution
Step 1: Identify the formula for the mean.
For a binomial distribution, the mean is given by
For a binomial distribution, the mean is given by
Step 2: Substitute the given values.
Given and
, we have
Given
Step 3: Perform the calculation.
Step 4: Round to three decimal places.
Answered by UpStudy AI and reviewed by a Professional Tutor
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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:
Mean:
Variance:
Standard Deviation: