In a randomly selected day, what is the probability this bus is late more than 5 minutes at the end of the day? If we consider consecutive days, what is the probability that the 6th day will be first day this bus is late more than 5 minutes at the end of the day? What is the probability that at least 10 consecutive days there, before a day with this bus is late more than 5 minutes at the end of the day?
In a randomly selected day, what is the probability this bus is late more than 5 minutes at the end of the day? If we consider consecutive days, what is the probability that the 6th day will be first day this bus is late more than 5 minutes at the end of the day? What is the probability that at least 10 consecutive days there, before a day with this bus is late more than 5 minutes at the end of the day?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Assume that we collect data (time how late the bus was at the end of the day) in related to following problem.
A bus is scheduled to stop at a certain stop every half hour. At the end of the day due to delays that
often occur earlier in the day, the bus is likely to be late. The director of the bus line claims
that the length of time a bus is late at the end of the day is uniformly distributed and the maximum time
that a bus is late is 20 minutes. Assume the lateness of the bus on different days are independent.
(a)
In a randomly selected day, what is the probability this bus is late more than 5
minutes at the end of the day?
If we consider consecutive days, what is the probability that the 6th day will be first
(b)
day this bus is late more than 5 minutes at the end of the day?
What is the probability that at least 10 consecutive days there, before a day with this
bus is late more than 5 minutes at the end of the day?
(d) .
probability that less than 60 of them will be more than 5 minutes late at the end of each day?
If a sample of 100 randomly selected days were considered, what is the approximate
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