Question

Suppose Anna usually goes to a certain bus stop without looking at the timetable. She knows...

Suppose Anna usually goes to a certain bus stop without looking at the timetable. She knows that the bus arrives at regular intervals. On 15 random occasions, she notes how many minutes she has to wait for the bus.

Result: 8.3, 2.1, 7.4, 0.1, 3.7, 2.8, 8.5, 6.6, 0.1, 8.8, 13.7, 2.3, 0.3, 6.2 and 12.2 minutes.

a) Estimate the time interval the bus will arrive by using the method of moments.

b) Estimate the time interval the bus will arrive by using the maximum likelihood method.

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