Probability Mass Function/Examples
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Examples of Probability Mass Functions
Arbitrary Example
Consider a population consisting of children the state of whose teeth is being monitored.
The following table consists of a count of the number of teeth with dental caries in a group of $100$ schoolchildren:
- $\begin {array} {|l|l|}
\hline \text {Number of Teeth} & \text {Number of Children} \\ \hline 0 & 53 \\ 1 & 29 \\ 2 & 14 \\ 3 & 1 \\ 4 & 3 \\ \hline \end {array}$
The values of the probability mass function, in this case better referred to as a relative frequency function, are:
\(\ds \map f 0\) | \(=\) | \(\ds 0 \cdotp 53\) | ||||||||||||
\(\ds \map f 1\) | \(=\) | \(\ds 0 \cdotp 29\) | ||||||||||||
\(\ds \map f 2\) | \(=\) | \(\ds 0 \cdotp 14\) | ||||||||||||
\(\ds \map f 3\) | \(=\) | \(\ds 0 \cdotp 01\) | ||||||||||||
\(\ds \map f 4\) | \(=\) | \(\ds 0 \cdotp 03\) |