Solved: Suppose that the number of cans of soda pop filled

Chapter 6, Problem 6.4.32

(choose chapter or problem)

Suppose that the number of cans of soda pop filled in a day at a bottling plant is a random variable with an expected value of 10,000 and a variance of 1000. a) Use Markov's Inequality (Exercise 31) to obtain an upper bound on the probability that the plant will fill more than 1 1,000 cans on a particular day. b) Use Chebyshev's Inequality to obtain a lower bound on the probability that the plant will fill between 9000 and 1 1 ,000 cans on a particular day.

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