Question

Select and write the correct answer from the given alternatives in each of the following :
A random variable X has the following probability distribution :
`{:(X=x,-2,-1,0,1,2,3),(P(x),0.1,0.1,0.2,0.2,0.3,0.1):}`
Then E(x) = ………
A. `0.8`
B. `0.9`
C. `0.7`
D. `1.1`

Answer 1

`E (x) = sum x . P(x) `
`{:(X=x," "-2," "-1,0,1,2,3),(P(x)," "0.1," "0.1,0.2,0.2,0.3,0.1),(xP(x),-0.2,-0.1,0,0.2,0.6,0.3):}`
`E (x) = sum x . P(x) = - 0.2 - 0.1 + 0.2 + 0.6 + 0.3`
` = 0.8`