The Random Variable X Is the Number of Occurrences of an Event

question 40

Multiple Choice

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The appropriate probability distribution for the random variable is

• A) discrete.
• B) continuous.
• C) either discrete or continuous depending on how the interval is defined.
• D) binomial.

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Definitions:

Representative Sample

A subset of a population that accurately reflects the members of the entire population.

Population of Interest

The complete set of individuals or elements who are the subject of study in a statistical analysis.

Hand-picked

Selected with great care or with particular criteria in mind.

T-statistic

A value used in statistical analysis that measures the size of the difference relative to the variation in a sample data set.