A random variable X has a mean µ = 13 and a variance o² = 4. Using Chebyshev's theorem, complete parts (a) through (d). (a) Find P(X 13|≥ 7). 4 P(IX-13|≥7) ≤ (Type an integer or a simplified fraction.) 49 (b) Find P(IX-13|<7). 45 P(IX-13|<7) ≥ (Type an integer or a simplified fraction.) 49 (c) Find P(8

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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A random variable X has a mean µ = 13 and a variance o² = 4. Using Chebyshev's theorem, complete parts (a) through (d).
(a) Find P(X 13|≥ 7).
4
P(IX-13|≥7) ≤
(Type an integer or a simplified fraction.)
49
(b) Find P(IX-13|<7).
45
P(IX-13|<7) ≥
(Type an integer or a simplified fraction.)
49
(c) Find P(8<x<18).
21
P(8<X<18) ≥
25
(Type an integer or a simplified fraction.)
(d) Find the value of the constant c such that P(|X-13|≥ c) ≤0.04.
c=
(Type an integer or a simplified fraction.)
Transcribed Image Text:A random variable X has a mean µ = 13 and a variance o² = 4. Using Chebyshev's theorem, complete parts (a) through (d). (a) Find P(X 13|≥ 7). 4 P(IX-13|≥7) ≤ (Type an integer or a simplified fraction.) 49 (b) Find P(IX-13|<7). 45 P(IX-13|<7) ≥ (Type an integer or a simplified fraction.) 49 (c) Find P(8<x<18). 21 P(8<X<18) ≥ 25 (Type an integer or a simplified fraction.) (d) Find the value of the constant c such that P(|X-13|≥ c) ≤0.04. c= (Type an integer or a simplified fraction.)
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