If the probability distribution of a random variable `X` is given by `X=x_i :\ 1 \ \ 2 \ \ 3 \ \ 4` `P(X=x_i):\ \ 2k \ \ 4k \ \ 3k \ \ k` Write the value of `k` .

Answer

The value of `k=1/10`

Explanation

To have distribution of probabilities becomes a probability distribution, then the Sum of probability distribution is `1`, then,


`Sigma P(x_i)=1`


`P(X=1
)+P(X=2)+P(X=3)+P(X=4)=1`


`rArr 2k+4k+3k+k=1`


`rArr 10k=1 rArr k=1/10`


Thus the value of k is:`1/10`