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?

Name: Assume that we collect data (time how late the bus was at the end of
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Description: 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 thatoften occur earlier in the day, the b

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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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Question

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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