问题 单项选择题

Given P(X=2) =0.3, P(X=3) =0.4, P(X=4) =0.3. What is the variance of X()

A.0.3.

B.0.6.

C. 3.0.

答案

参考答案:B

解析:

The variance is the sum of the squared deviations from the expected value weighted by the probability of each outcome.

The expected value is E(X) =0.3×2+0.4×3+0.3×4=3.

The variance is 0.3×(2-3)2+0.4×(3-3)2 +0.3×(4-3)2=0.6.

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