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notes 17 - • Number of classes missed last week(possible...

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Random Variables A random variable is numerical characteristic of each event in a sample space, or equivalently, each individual in a population. Examples: The number of heads in four flips of a coin (a numerical property of each different sequence of flips). Heights of individuals in a large population. Random variables are classified into two broad types A discrete random variable has a countable set of distinct possible values. A continuous random variable is such that any value (to any number of decimal places) within some interval is a possible value. Examples of discrete random variable: Number of heads in 4 flips of a coin (possible outcomes are 0, 1, 2, 3, 4).
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Unformatted text preview: • Number of classes missed last week (possible outcomes are 0, 1, 2, 3, . .., up to some maximum number) • Amount won or lost when betting $1 on the Pennsylvania Daily number lottery Examples of continuous random variables: • Heights of individuals • Time to finish a test • Hours spent exercising last week. Note : In practice, we don't measure accurately enough to truly see all possible values of a continuous random variable. For instance, in reality somebody may have exercised 4.2341567 hours last week but they probably would round off to 4. Nevertheless, hours of exercise last week is inherently a continuous random variable....
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