SOLUTION: Use the following information for the next two questions: The arrival time of a bus to a certain bus stop is uniformly distributed between 10:20 am and 10:45 am. 22. The probab

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Question 1119557: Use the following information for the next two questions: The arrival time of a bus to a certain bus stop is uniformly distributed between 10:20 am and 10:45 am.
22. The probability that the bus will arrive between 10:30 am and 10:40 am is
(a) 0.2
(b) 0.3
(c) 0.4
(d) 0.5

23. The probability that the bus will arrive exactly at 10:43am is
(a) 0.3
(b) 0.2
(c) 0.1
(d) 0
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
# 22.
------- 

The duration of the time interval between 10:20 am and 10:45 am is  25 minutes (from the beginning of the 20-th minute to the beginning of the 45-th minute).


The duration of the time interval between 10:30 am  and 10:40 am is 10 minutes (from the beginning of the 30-th minute to the beginning of the 40-th minute).


The probability under the question is equal to the ratio of these two time interval durations   =  = 0.4 = 40%.


Answer.    The probability under the question is   =  = 0.4 = 40%.


# 23.
------- 

Answer.  The probability under the question is 0 (zero, ZERO).


Solved.


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