A random variable x has the following probability distribution. Determine the standard deviation of x.
x | f(x) |
0 | 0.05 |
1 | 0.1 |
2 | 0.3 |
3 | 0.2 |
4 | 0.35 |
A random variable x has the following probability distribution. Determine the expected value of x.
x | f(x) |
0 | 0.11 |
1 | 0.04 |
2 | 0.3 |
3 | 0.2 |
4 | 0.35 |
QUESTION 2
A random variable x has the following probability distribution. Determine the variance of x.
x | f(x) |
0 | 0.02 |
1 | 0.13 |
2 | 0.3 |
3 | 0.2 |
4 |
0.35 |
Following table shows the calculations:
x | f(x) | x*f(x) | x^2*f(x) |
0 | 0.05 | 0 | 0 |
1 | 0.1 | 0.1 | 0.1 |
2 | 0.3 | 0.6 | 1.2 |
3 | 0.2 | 0.6 | 1.8 |
4 | 0.35 | 1.4 | 5.6 |
Total | 2.7 | 8.7 |
The standard deviation is
------------------------------
x | f(x) | x*f(x) |
0 | 0.11 | 0 |
1 | 0.04 | 0.04 |
2 | 0.3 | 0.6 |
3 | 0.2 | 0.6 |
4 | 0.35 | 1.4 |
Total | 2.64 |
The expected value is
----------------------------
x | f(x) | x*f(x) | x^2*f(x) |
0 | 0.02 | 0 | 0 |
1 | 0.13 | 0.13 | 0.13 |
2 | 0.3 | 0.6 | 1.2 |
3 | 0.2 | 0.6 | 1.8 |
4 | 0.35 | 1.4 | 5.6 |
Total | 2.73 | 8.73 |
The variance is
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