Question

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

X	2	3	4	5
P(X)	`5/"k"`	`7/"k"`	`9/"k"`	`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)	`5/"k"`	`7/"k"`	`9/"k"`	`11/"k"`

The value of k is 32.

Explanation:

We know that `sum_("i" = 1)^"n" "P"("X"_"i")` = 1

∴ `5/"k" + 7/"k" + 9/"k" + 11/"k"` = 1

`32/"k"` = 1

⇒ k = 32