20 machines are operating in a factory. During a day of work, the probability of a machine failing is 5%, independent to the other machine. a) What is the probability that either a single machine or no machine fails during a day? b) During a 7-day week, what is the probability that the first time two or more machines break down, happens on the third day of the week? c) What is the probability that in a 7-day week, there are exactly two days where only one failure occurs?

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...
icon
Related questions
Topic Video
Question
100%

Please help

 

20 machines are operating in a factory. During a day of work, the probability of a machine failing is 5%,
independent to the other machine.
a) What is the probability that either a single machine or no machine fails during
a day?
b) During a 7-day week, what is the probability that the first time two or more machines break down,
happens on the third day of the week?
c) What is the probability that in a 7-day week, there are exactly two days where only one failure
occurs?
Transcribed Image Text:20 machines are operating in a factory. During a day of work, the probability of a machine failing is 5%, independent to the other machine. a) What is the probability that either a single machine or no machine fails during a day? b) During a 7-day week, what is the probability that the first time two or more machines break down, happens on the third day of the week? c) What is the probability that in a 7-day week, there are exactly two days where only one failure occurs?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Research Design Formulation
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.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON