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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
icon
Related questions
Topic Video
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
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
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage