Can you have a probability that is more than 1? Why or why not?
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Can you have a probability that is more than 1? Why or why not?
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Answer:
Maybe it is impossible. But how with this problem:
Step-by-step explanation:
In the rolling of a single fair die, Suppose X be the outcome.
Then E(X)=3.5
and Var(X)=35/12
Let we want to compute P(X>=5) by the usual Chebyshev inequality,
we obtain
P(X>=5) <= P(X>=5 or X <=2) = P(|X-3.5|>=1.5) <= (35/12)/(1.5^2) = 1.296296 > 1 How come?