Math Problem Statement
- A bus arrives at a station every day at a random time between 1:00 P.M. and 1:30 P.M. A person arrives at this station at 1:00 and waits for the bus. If at 1:15 the bus has not yet arrived, what is the probability that the person will have to wait at least an additional 5 minutes?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Uniform Distribution
Conditional Probability
Formulas
P(Event) = Length of favorable interval / Length of total interval
Theorems
Law of Total Probability
Basic Properties of Uniform Distribution
Suitable Grade Level
Grades 9-11
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