Question
II. Find the mean, variance and the standard deviation of the probability distribution of
the random variable X if
for
.
the random variable X if
Ask by Frank Page. in the Philippines
Jan 02,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Mean: 5.5
- Variance: 8.25
- Standard Deviation: ≈ 2.873
Solution

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Bonus Knowledge
To find the mean, variance, and standard deviation of the given probability distribution, we first note that
for
.
The mean
is calculated as:
Next, we calculate the variance
:
Calculating this gives:
Finally, the standard deviation
is the square root of the variance:
To summarize, the mean is
, the variance is
, and the standard deviation is approximately
.