Consider the discrete random variable X given in the table below. Calculate the mean, variance, and...
Consider the discrete random variable X given in the table
below. Calculate the mean, variance, and standard deviation of
X.
| X | 2 | 3 | 8 | 10 | 16 | 18 | 20 |
|---|---|---|---|---|---|---|---|
| P(X) | 0.13 | 0.11 | 0.37 | 0.08 | 0.13 | 0.09 | 0.09 |
μ =
σ2 =
σ =
What is the expected value of X?
(All answers should be rounded to one more decimal place than the
raw data.) (Remember to perform all calculations before rounding to
avoid a rounding error.)
Homework Answers
The mean here is computed as:
The second moment now is computed here as:
Now the variance here is computed as:
The standard deviation is now obtained as:
Note that the expected value is equal to the mean which is 9.85 here.
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