Concept explainers
What happens to the mean and the variance when we add 7 to every output x and what are the new sample mean, the new expected, and new variance.
Answer to Problem 1PS
New mean gets added by 7 to the original mean and new variance is equals to the original variance.
Explanation of Solution
Given:
Mean and variance
Calculation:
Let
Variance of the N outputs is given by
After adding 7 to each of output, then we get
New mean
Thus, new mean gets added by 7 to the original mean.
The new variance
Thus, every mean gets added by 7 and distance remains same.
Thus new variance is equals to the original variance.
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