\[X={{x}_{1}}\] | 1 | 2 | 3 | 4 |
\[P(X={{x}_{1}})\] | 0.1 | 0.2 | 0.3 | 0.4 |
A) 3 and 2
B) 3 and 1
C) 3 and\[\sqrt{3}\]
D) 2 and 1
E) 3 and \[\sqrt{2}\]
Correct Answer: B
Solution :
\[{{x}_{i}}\] | \[{{p}_{i}}\] | \[x_{i}^{2}\] | \[{{p}_{i}}{{x}_{i}}\] | \[{{p}_{i}}x_{i}^{2}\] |
1 | 0.1 | 1 | 0.1 | 0.1 |
2 | 0.2 | 4 | 0.4 | 0.8 |
3 | 0.3 | 9 | 0.9 | 2.7 |
4 | 0.4 | 16 | 1.6 | 6.4 |
\[\Sigma {{p}_{i}}{{x}_{i}}=3\] | \[\Sigma {{p}_{i}}x_{i}^{2}=10\] |
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