Question

Mark the correct alternative in the following question:
The probability distribution of a discrete random variable X is given below:

X:	2	3	4	5
P(X):	\[\frac{5}{k}\]	\[\frac{7}{k}\]	\[\frac{9}{k}\]	\[\frac{11}{k}\]

The value of k is .

Options

• 8   

• 16 

• 32     

•  48

Answer 1

The probability distribution of a discrete random variable X is given below:

X:	2	3	4	5
P(X):	\[\frac{5}{k}\]	\[\frac{7}{k}\]	\[\frac{9}{k}\]	\[\frac{11}{k}\]

\[\text{ As,}  \sum p_i = 1\]
\[ \Rightarrow \frac{5}{k} + \frac{7}{k} + \frac{9}{k} + \frac{11}{k} = 1\]
\[ \Rightarrow \frac{32}{k} = 1\]
\[ \therefore k = 32\]