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Question: Answered & Verified by Expert
If the probability distribution function of a random variable $\mathrm{X}$ is given as


Then $F(0)$ is equal to
MathematicsProbabilityMHT CETMHT CET 2021 (23 Sep Shift 1)
Options:
  • A $P(X>0)$
  • B $1-P(X>0)$
  • C $1-\mathrm{P}(\mathrm{X} < 0)$
  • D $\mathrm{P}(\mathrm{X} < 0)$
Solution:
1669 Upvotes Verified Answer
The correct answer is: $1-P(X>0)$


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

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