Answer :
The 30th percentile for waiting times is 2.4 minutes.
What is percentile?
In statistics, a score below which a specific percentage k of scores in its frequency distribution falls (exclusive definition) or a score at or below which a particular percentage falls is known as a k-th percentile (percentile score or centile).
For instance, the 50th percentile (the median) is the score that, according to the "exclusive" definition, is at or below the point at which 50% of the scores in the distribution are located (by the "inclusive" definition). When human weight is a factor in the input scores, the corresponding percentiles will be expressed in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores. Depending on the distribution of values for a specific variable, a population can be classified into each of the 100 equal groups.
In statistics, 30th percentile simply means 30% or three-fifths of the whole. So, for this problem, you just have to simply determine the 30% of the waiting time. It is solved as follows:
30th percentile = (0.30)(8 minutes) = 2.4 minutes.
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