P(X) = 1225X for 1, 2, 3, 4

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Assume given:

P(X) = 1/2 2/5 X 2X

for 1 2 3 4

Find X.

Solution:

$\Sigma P(X)=1 \\ \Rightarrow \dfrac12+ \dfrac25 +X+2X=1 \\ \Rightarrow \dfrac9{10}+3X=1 \\ \Rightarrow 3X= \dfrac1{10} \\ \Rightarrow X= \dfrac1{30}$

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Question ID: mtid-4-stid-47-sqid-4442-qpid-161