The probability distribution of a random variable X is following,… - Vidyadip

Question

The probability distribution of a random variable $\mathrm{X}$ is following, where $\mathrm{k}$ is any number $\mathrm{P}(X)=\left\{\begin{array}{l}k \text { if } X=0 \\ 2 k \text { if } X=1 \\ 3 k \text { if } X=2 \\ 0 \text { otherwise }\end{array}\right.$
$(a)$ Find the value of $\mathrm{k}$
$(b)$ Find the value of $\mathrm{P}(\mathrm{X}<2), \mathrm{P}(\mathrm{X} \leq 2), \mathrm{P}(\mathrm{X} \geq 2)$

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Answer

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