If the probability distribution function of a random variable $\mathrm{X}$ is given as Then $F(0)$ is equal to

If the probability distribution function of a random variable $\mathrm{X}$ is given as

Then $F(0)$ is equal to

$P(X>0)$
$1-P(X>0)$
$1-\mathrm{P}(\mathrm{X} < 0)$
$\mathrm{P}(\mathrm{X} < 0)$

Solution

$\begin{aligned} & \therefore F(0)=1-[P(x=1)+P(x=2)] \\ & =1-P(X>0)\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 1)

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