A train arrives at a station every 20 minutes. What is the probability that a person arriving at the
station will have to wait less than half an hour for the next train?
Answers
Answer:
1
Step-by-step explanation:
X~U(0,20)
F(x) = 0 ; x> a
1/(b-a) ; a<= x <= b
1 ; x>b
Answer: The probability that a person arriving at the station will have to wait less than half an hour for the next train is 1.
Step-by-step explanation:
The gap between arrival of two trains is 20 minutes. Therefore, the maximum time for which a person has to wait is 20 minutes which will be the case when person arrives at station just when first train is leaving and misses it. Then , to catch the second train person will have to wait for 20 minutes. In all other cases , the person has to wait for less than 20 minutes.
Hence , the probability that a person arriving at the station will have to wait less than half an hour for the next train is 1.
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