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.
Suppose Anna usually goes to a certain bus stop without looking at the timetable. She knows...
Question D C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...