To estimate the probability that the waiting time is between 8 and 15 minutes inclusive, we need to sum up the relative frequencies of the customers with waiting times in that range.
Looking at the table, we can find the relative frequencies for each waiting time range:
- For the range 0-5 minutes, the relative frequency is 0.2
- For the range 6-10 minutes, the relative frequency is 0.25
- For the range 11-15 minutes, the relative frequency is 0.3
- For the range 16-20 minutes, the relative frequency is 0.15
- For the range 21-25 minutes, the relative frequency is 0.1
Since we are interested in the range 8-15 minutes, we need to sum up the relative frequencies for the ranges 6-10 minutes and 11-15 minutes:
Relative frequency = 0.25 + 0.3 = 0.55
Therefore, the estimated probability that the waiting time is between 8 and 15 minutes inclusive is 0.55 or 55%.
If we randomly select one of the customers represented in the table, estimate the probability that the waiting time is between 8 and 15 minutes inclusive? (Use the relative frequency approach to compute probabilities).
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