Let Y be a uniformly distribution random variable. Find: (a) P(|Y −μ|≤2σ) (b) Use Tchebysheff’s theorem...

Let Y be a uniformly distribution random variable. Find:

(a) P(|Y −μ|≤2σ)
(b) Use Tchebysheff’s theorem to estimate P(|Y − μ| ≤ 2σ).
(c) Use the empirical rule to estimate P (|Y − μ| ≤ 2σ).
(d) How does (b) compare to (a)?
(e) How does (c) compare to (a)?

Expert Solution

I have answered the question below

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Answer:

a)

b)

c)

d) & e)

a) is quite close to empirical rule as compared to Tchebysheff's theorem

orchestra answered 1 year ago

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