Chapter 5

# Chapter 5 - Chapter5 1 Random Variable The number x of TV...

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Chapter 5 Discrete Random Variables 1

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Chapter 5 – Discrete Random Variables DSC 205 A/E/L Random Variable – - The number, x, of TV sets in a sample of 8 five- year-old sets that have not needed a single repair. Here x could be 0, 1, 2, 3, 4, 5, 6, 7 or 8. - The rating, x, on a 1 through 5 scale given to a song by a listener in an music survey. Here x could be 1, 2, 3, 4, 5 - The number, x, of major fires in CA during the last two weeks. Here x could be 0, 1, 2, and so on. (no definite max number here) - The number, x , of miles driven on a car that is serviced in the Oxford body shop. Here x could be from 0 and up, without any limit. 2
Chapter 5 – Discrete Random Variables DSC 205 A/E/L Probability Distribution for a discrete random variable – table, graph, or formula that gives the probability associated with each possible value that the random variable can assume. Properties of a Discrete Probability Distribution p(x) 1. 2. Expected value (mean) of a Discrete Random 3

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Chapter 5 – Discrete Random Variables DSC 205 A/E/L Variance and Standard Deviation of a Discrete Random Variable Example 5.9(b,c)/204 Calculate the mean and standard deviation of these variables 4 x p(x) 0 0.25 1 0.45 2 0.2 3 0.1 x p(x) -2 0.1 0 0.3 2 0.4 5 0.2
Chapter 5 – Discrete Random Variables DSC 205 A/E/L Three customers walk in a store. The probability of each of them to buy something is 60%. What is the probability of exactly one of the three customers to buy something.

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