Question
Compute the mean and standard deviation of the random variable with the given discrete probability distribution....
Compute the mean and standard deviation of the random variable with the given discrete probability distribution.
|
x |
Px |
|
−3 |
0.23 |
|
−2 |
0.15 |
|
7 |
0.25 |
|
9 |
0.27 |
|
10 |
0.1 |
Homework Answers
Answer #1
Solution
| x | P(x) | x * P(x) | x2 * P(x) |
| -3 | 0.23 | -0.69 | 2.07 |
| -2 | 0.15 | -0.3 | 0.6 |
| 7 | 0.25 | 1.75 | 12.25 |
| 9 | 0.27 | 2.43 | 21.87 |
| 10 | 0.1 | 1 | 10 |
 |
1 | 4.19 | 46.79 |
a ) Mean = 
=
X * P(X) = 4.19
b ) Standard deviation = 
=
X
2 * P(X) -
2
=46.79
- 17.5561
=29.2339
= 5.4068
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