Question

Of the trains that recently arrived at Georgetown Station, 16 were on time and 3 were late. Considering this data, how many of the next 95 trains would you expect to be on time?

Answer 1

80 Trains

Explanation:

Number of Trains Late = 3

Number of Trains on Time = 16

Total Number of Trains = 16+3=19

Relative Frequency = Number of Success/Number of Experimental Trials

Relative Frequency of a Train being on Time
`=(16)/(19)`

In experimental probability, we can use the relative frequency of an event in the experiment to predict for an increased number of trials.

Expected Number of Outcome = Relative Frequency of the Event X Total Number of Trials

In this case, the Total Number of Trials = 95

Number of Trains expected to be early
`=(16)/(19) X 95 = 80`