A random variable `X` as the following probability distribution: `x_i :-2-10123` `p_i :0. 1k0. 22k0. 3k` Find (i) Find the value of `kdot` (ii) Calculate the mean of`Xdot` Calculate the variance of `Xdot`

Explanation

Given that a random variable x has the following probability distribution


`X= x| -2, -1, 0 ,1 ,2 3`

` p(x)| 0.1 , k ,0.2, 2k, 0.3 ,k`
We know that in a probability total probability is unity


i.e` ∑p(x)=1`


`⇒0.1+k+0.2+2k+0.3+k=1`

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