a) On average, how many days after the operating system is installed do you expect the first computer crash? b) What is the probability that the computer crashes for the first time on the fourteenth day after the operating system is installed? c) What is the probability that on the 30th day the computer crashes for the second time? d) What is the probability that at least one crash happens in at least 2 of the next 4 months (assuming that each month is 30 days in duration)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

After installation of a certain operating system, the probability that the computer crashes on any

given day is 0.05. Assume that the computer crashes occur independently and with constant

probability.

a) On average, how many days after the operating system is installed do you expect the first

computer crash?

b) What is the probability that the computer crashes for the first time on the fourteenth day

after the operating system is installed?

c) What is the probability that on the 30th day the computer crashes for the second time?

d) What is the probability that at least one crash happens in at least 2 of the next 4 months

(assuming that each month is 30 days in duration)?

Expert Solution
Step 1

Here use binomial theorem 

P = 0.05

q = 1- 0.05 = 0.95

 

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman