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A random variable X has the following pr...

A random variable X has the following probability distribution.
Then, the mean of X is

A

3

B

1

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
We know that, sum of probabillties of probability distribution is 1
`therefore" "k+2k+3k+4k=1rArrk=1/(10)`
Now, mean `barX=kxx1+2kxx2+3kxx3+4kxx4`
`=k+4k+9k+16k=30k`
`rArr" "barX=30xx1/(10)=3`
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