You have a weighted die with the following probability distribution for the outcomes 1 through 6, respectively: 0.12, 0.2, 0.17, 0.19, 0.15, 0.17. What are the expected value and standard deviation for this die?

A. 2.68, 1.63

B. 3, 2.70

C. 3.37, 2.68

D. 3.56, 1.63

E. 3.56, 2.68

### 1 Answer | Add Yours

`sumxp(x)= .12+.4+.51+.76+.75+1.02=3.56`

similarly we can calulate

`sigma^2=sumx^2p(x)-(sumxp(x))^2=15.72-(3.56)^2`

`sigma=1.73`

Ans. D

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