A random sample of size n = 100 is taken from an infinite population with the mean μ = 75 and the vari-ance σ2 = 256. (a) Based on Chebyshev’s theorem, with what probabil-ity can we assert that the value we obtain for X will fall between 67 and 83? (b) Based on the central limit theorem, with what proba-bility can we assert that the value we obtain for X will fall between 67 and 83?

A random sample of size n = 100 is taken from an infinite population with the mean μ = 75 and the vari-ance σ2 = 256. (a) Based on Chebyshev’s theorem, with what probabil-ity can we assert that the value we obtain for X will fall between 67 and 83? (b) Based on the central limit theorem, with what proba-bility can we assert that the value we obtain for X will fall between 67 and 83?

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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