Question

If the probability distribution of a random variable X is given by Write the value of k.

X = xi :	1	2	3	4
P (X = xi) :	2k	4k	3k	k

 

Answer 1

We know that the sum of probabilities in a probability distribution is always 1.

∴ P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4) = 1
\[\Rightarrow 2k + 4k + 3k + k = 1\]
\[ \Rightarrow 10k = 1\]
\[ \Rightarrow k = \frac{1}{10} = 0 . 1\]