Let X be a random variable with expectation E(X)=10 and variance var(X)=5. Which lower bound does Chebychev’s inequality gives on the probability that |X−E(X)|<4 (in decimal up to 4 places)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Let X be a random variable with expectation E(X)=10 and variance var(X)=5. Which lower bound does Chebychev’s inequality gives on the probability that |X−E(X)|<4 (in decimal up to 4 places)?

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