Probability Mass Function/Examples/Arbitrary Example 1

Example of Probability Mass Function

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:

$\ds \map f 0$

$=$

$\ds 0 \cdotp 53$

$\ds \map f 1$

$=$

$\ds 0 \cdotp 29$

$\ds \map f 2$

$=$

$\ds 0 \cdotp 14$

$\ds \map f 3$

$=$

$\ds 0 \cdotp 01$

$\ds \map f 4$

$=$

$\ds 0 \cdotp 03$