There is a box containing 5 red balls and 15 back balls. Suppose that the following procedure is performed 24 times: a ball is picked, observed, and returned to the box. (Each ball is equally likely to get picked each

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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There is a box containing 5 red balls and 15 back balls. Suppose that the following procedure is performed 24 times: a ball is picked, observed, and returned to the box. (Each ball is equally likely to get picked each time, independently of which balls are picked on other occasions.)

(a) Compute the mean and the variance of the number of times when a red ball will be observed.

(b) Using the Chebyshev inequality, give an upper bound on the probability that a balls will be observed more than 17 times.

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