The number of accidents that occur annually on a busy road is an example of:Group of answer choicesa continuous random variable.a discrete random variable.a discrete probability distribution.a continuous probability distribution.
Question
The number of accidents that occur annually on a busy road is an example of:Group of answer choicesa continuous random variable.a discrete random variable.a discrete probability distribution.a continuous probability distribution.
Solution
The number of accidents that occur annually on a busy road is an example of a discrete random variable.
Here's why:
A random variable is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous.
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A discrete random variable is one which may take on only a countable number of distinct values such as 0,1,2,3,4,........ Discrete random variables are usually (but not necessarily) counts. If a random variable can take only a finite number of distinct values, then it must be discrete. Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor's surgery, the number of defective light bulbs in a box of ten.
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A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile.
In this case, the number of accidents that occur annually on a busy road can be counted (0, 1, 2, 3, etc.) and thus, it is a discrete random variable.
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