A random variable X has a mean μ = 14 and a variance o²=4. Using Chebyshev's theorem, complete parts (a) throug (d). (a) Find P(|X-14| ≥ 5). P(IX-1425) (b) Find P(|X-14|<5). P(|X-14|<5) (c) Find P(11

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A random variable X has a mean μ = 14 and a variance o² =4. Using Chebyshev's theorem, complete parts (a) through
(d).
***
(a) Find P(|X-14| ≥ 5).
P(IX-1425)
(b) Find P(|X-14| <5).
P(|X-14|<5)
(c) Find P(11<x< 17).
P(11<x<17)[
(Type an integer or a simplified fraction.)
(d) Find the value of the constant c such that P(|X-14 ≥ c) ≤0.0625.
(Type an integer or a simplified fraction.)
(Type an integer or a simplified fraction.)
(Type an integer or a simplified fraction.)
Transcribed Image Text:A random variable X has a mean μ = 14 and a variance o² =4. Using Chebyshev's theorem, complete parts (a) through (d). *** (a) Find P(|X-14| ≥ 5). P(IX-1425) (b) Find P(|X-14| <5). P(|X-14|<5) (c) Find P(11<x< 17). P(11<x<17)[ (Type an integer or a simplified fraction.) (d) Find the value of the constant c such that P(|X-14 ≥ c) ≤0.0625. (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.)
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