A random variable X has the following probability distribution : … - Vidyadip

MCQ

A random variable $X$ has the following probability distribution :

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
$P(X)$	$a$	$6 a$	$6 a$	$4 a$	$8 a$	$8 a$	$6 a$	$9 a$

Find the value of $a$.

A
$\frac{1}{47}$
✓
$\frac{1}{48}$
C
$\frac{1}{33}$
D
$\frac{1}{29}$

✓

Answer

Correct option: B.

$\frac{1}{48}$

We know that, $\Sigma P_i=1$
$\Rightarrow a+6 a+6 a+4 a+8 a+8 a+6 a+9 a=1$
$\Rightarrow 48 a=1$
$\Rightarrow a=\frac{1}{48}$

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