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

Question

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

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

The value of k is:

8
16
32
48

✓

Answer

32

Solution:

$\sum\limits_2^5\text{P}(\text{x})=1$

$\frac{5}{\text{k}}+\frac{7}{\text{k}}+\frac{9}{\text{k}}+\frac{11}{\text{k}}=1$

$\text{k}=32$

NOTE: Question is modified.

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