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Elza [17]
4 years ago
11

Please Help me understand this Discrete Math concept.

Mathematics
1 answer:
andrezito [222]4 years ago
7 0
Start with Markov's Inequality
P(x\ \textgreater \ a)  \leq \frac{E(x)}{a}
Given :
P(x\ \textgreater \ a) +P(x \leq a) = 1  \\ P(x\ \textgreater \ a) = 1-P(x \leq a)
Substitute into Markov's inequality
1-P(x \leq a)  \leq \frac{E(x)}{a}
Rearrange:
P(x \leq a)  \geq 1-\frac{E(x)}{a}
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