The distribution of a random variable $X$ is given below The value of $k$ is

The distribution of a random variable $X$ is given below
The value of $k$ is

1. $\frac{1}{10}$
2. $\frac{2}{10}$
3. $\frac{3}{10}$
4. $\frac{7}{10}$

Solution

Given, probability distribution is
As we know, total probability distribution is 1 . $\begin{array}{rrrr} \therefore & \frac{1}{10}+k+\frac{1}{5}+2 k+\frac{3}{10}+k=1 \\ \Rightarrow & \frac{6}{10}+4 k=1 \\ \Rightarrow & & 4 k=\frac{4}{10} \Rightarrow k=\frac{1}{10} \end{array}$

Asked in: TEST SERIES MHT-CET Full Test 6

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