Consider a random variable X with the following probability
distribution:
P(X=0) = 0.08, P(X=1) = 0.22,
P(X=2) = 0.25, P(X=3) = 0.25,
P(X=4) = 0.15, P(X=5) =
0.05
Find the expected value of X and the standard deviation of
X.
0 | 0.08 | 0 | 0 | 0 |
1 | 0.22 | 0.22 | 1 | 0.22 |
2 | 0.25 | 0.5 | 4 | 1 |
3 | 0.25 | 0.75 | 9 | 2.25 |
4 | 0.15 | 0.6 | 16 | 2.4 |
5 | 0.05 | 0.25 | 25 | 1.25 |
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