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:

$\quad \begin {array} {|l|l|} \hline \text {Number of Teeth} & \text {Number of Children} \\ \hline 0 & 53 \\ 1 & 29 \\ 2 & 14 \\ 3 & 1 \\ 4 & 3 \\ \hline \end {array}$

The values of the probability mass function, in this case better referred to as a relative frequency function, are:

\(\ds \map f 0\) \(=\) \(\ds 0 \cdotp 53\)
\(\ds \map f 1\) \(=\) \(\ds 0 \cdotp 29\)
\(\ds \map f 2\) \(=\) \(\ds 0 \cdotp 14\)
\(\ds \map f 3\) \(=\) \(\ds 0 \cdotp 01\)
\(\ds \map f 4\) \(=\) \(\ds 0 \cdotp 03\)


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): frequency function
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): frequency function
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