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Chapter 8: Q. 8.1 (page 393)

The number of automobiles sold weekly at a certain dealership is a random variable with an expected value of16. Give an upper bound to the probability that

(a)next week鈥檚 sales exceed18;

(b)next week鈥檚 sales exceed25.

Short Answer

Expert verified

(a)P{X>18}鈮�E[X]18=89=.89(b)P{X>25}鈮�E[X]25=1625=.64

Step by step solution

01

Given Information.

The number of automobiles sold weekly at a certain dealership is a random variable with an expected value of16.

02

Part (a) Explanation.

Let the random variableXrepresent the number of automobiles sold (in a week). It is given thatE[X]=16.

By Markov's inequality, we get:

P{X>18}鈮�E[X]18=1618=89=.89

03

Part (b) Explanation.

P{X>25}鈮�E[X]25=1625=1625=.64

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