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
Algebra ->
Probability-and-statistics
-> 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
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.
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Answer. The probability under the question is 0 (zero, ZERO).
