High School

Considering that 12 out of the last 20 trains arrived on time, how many of the next 5 trains would you expect to be on time?

Answer :

Final answer:

Based on previous performance, where 12 out of 20 trains were on time, we can expect approximately 3 out of the next 5 trains to be on time at Wildgrove Station.

Explanation:

To determine the expected number of trains to be on time out of the next 5 trains based on past data, we can calculate the probability of a train arriving on time and then use that probability to estimate future outcomes. Given that 12 out of the last 20 trains were on time, we find the probability of a train being on time is 12/20 or 0.6.

Therefore, to estimate the number of the next 5 trains that would be on time, we multiply the total number of upcoming trains (5) by the probability of a train being on time (0.6). This results in an expected value of 3 trains being on time. This means, based on past performance, we would expect 3 out of the next 5 trains to arrive on time at Wildgrove Station.