Question

How can you find out the following probabilities assuming that you know the mean and standard...

How can you find out the following probabilities assuming that you know the mean and standard deviation?

P(X <= µ+2σ) = ?
P(µ <= X <= µ+3σ) = ?
P(|X - µ| <= 3σ) = ?
P(|X - µ| > 3σ) = ?

Consider two situations. One in which you do not know the probability distribution and another when the distribution is Normal.

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soli Case I ] Do not know probability distobchan Cheby chers Using inequality @ P(x <= ll 12o) = 0.8750 S x <= ut3o = 0.4444

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