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A random varibale X has the following pr...

A random varibale X has the following probability distribution.
`{:(X:,1,2,3,4,5),(P(X):,0,0.1,0.2,0.3,0.4):}`
The mean and standard deviation of X are respectively.

A

2 and 3

B

3 and 1

C

`3 and sqrt(2)`

D

2 and 1

Text Solution

Verified by Experts

The correct Answer is:
B
The computation of mean and standard deviation is as follows:

`therefore` Mean `=sum p_(i)x_(i)=3`
Variance ` (X) =sump _(i) x_(i)^(2) -( sump_(i)x_(i))^2, =10 -9 =1`
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