4.77 A random variable X has a mean u = 10 and a variance o = 4. Using Chebyshev's theorem, find (a) P(|X – 10| 2 3); (b) P(|X – 10| < 3); (c) P(5 < X < 15); (d) the value of the constant c such that P(|X – 10| > c) < 0.04.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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4.77 A random variable X has a mean u = 10 and a
variance o = 4. Using Chebyshev's theorem, find
(a) P(|X – 10| 2 3);
(b) P(|X – 10| < 3);
(c) P(5 < X < 15);
(d) the value of the constant c such that
P(|X – 10| > c) < 0.04.
Transcribed Image Text:4.77 A random variable X has a mean u = 10 and a variance o = 4. Using Chebyshev's theorem, find (a) P(|X – 10| 2 3); (b) P(|X – 10| < 3); (c) P(5 < X < 15); (d) the value of the constant c such that P(|X – 10| > c) < 0.04.
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