Choose the correct answer from the given four options. The probab… - Vidyadip

Question

Choose the correct answer from the given four options.
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:
We know that, $\sum\text{P}\text{X}=1$
$\Rightarrow\frac{5}{\text{k}}+\frac{7}{\text{k}}+\frac{9}{\text{k}}+\frac{11}{\text{k}}=1$
$\Rightarrow\frac{32}{\text{k}}=1$
$\therefore\text{k}=32$

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