5. A certain Math 341 student is always late to class. He arrive at a time equally likely to be between 5 and 25 minutes
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5. A certain Math 341 student is always late to class. He arrive at a time equally likely to be between 5 and 25 minutes
5. A certain Math 341 student is always late to class. He arrive at a time equally likely to be between 5 and 25 minutes after class starts. (That is, his arrival time is equally likely to be anywhere in the interval from 5 to 25 minutes after class starts.) a. On average, how long after class starts is the student expected to arrive? b. What's the probability the student arrives more than 20 minutes late? c. What's the probability the student arrives more than 20 minutes late GIVEN that he's more than 10 minutes late? d. Over the course of a semester (30 classes), what's the probability the student arrives more than 20 minutes late at least twice? (Assume the student's arrival time is independent from class to class and always equally likely to be between 5 and 25 minutes after class starts.)
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