The probability distribution of a discrete random variable X is g… - Vidyadip

MCQ

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

A
8
B
16
✓
32
D
48

✓

Answer

Correct option: C.

32

(c) : We have, $\Sigma P(X)=1$
$
\Rightarrow \frac{5}{k}+\frac{7}{k}+\frac{9}{k}+\frac{11}{k}=1 \Rightarrow \frac{32}{k}=1 \Rightarrow k=32
$

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