Sid is sitting at a bus stop, noting down the time interval of the buses arriving at the stop. His readings are as follows:
Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32
What is the probability that the next bus will come within 5 minutes?(in decimals)
__
Sid is sitting at a bus stop, noting down the time interval of the buses arriving at the stop. His readings are as follows:
Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32
What is the probability that the next bus will come within 5 minutes?(in decimals)
The time interval between each bus is as follows:
Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32Time Interval(in min)−35638572674757
So, the number of buses that arrived within 5 minutes is = 7
Therefore the probability that the next bus will come within 5 minutes is =714=12=0.5.
Note: We do not consider 15 buses in this case because Sid does not know when the last bus before 8:15 was. Hence he cannot say the exact time interval for the first bus.
The time interval between each bus is as follows:
Bus123456789101112131415Time(hr:min)8:158:188:238:298:328:408:458:528:549:009:079:139:209:259:32Time Interval(in min)−35638572674757
So, the number of buses that arrived within 5 minutes is = 7
Therefore the probability that the next bus will come within 5 minutes is =714=12=0.5.
Note: We do not consider 15 buses in this case because Sid does not know when the last bus before 8:15 was. Hence he cannot say the exact time interval for the first bus.
