Twelve doughnuts sampled from a manufacturing process are weighed each day. The probability that a sample will have no doughnuts weighing less than the design weight is 6.872%. a) What is the probability that a sample of twelve doughnuts contains exactly three doughnuts weighing less than the design weight? b) What is the probability that the sample contains more than three doughnuts weighing less than the design weight? c) In a sample of twelve doughnuts, what is the expected number of doughnuts weighing less than the design weight?

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
Twelve doughnuts sampled from a manufacturing process are weighed each day. The
probability that a sample will have no doughnuts weighing less than the design
weight is 6.872%.
a) What is the probability that a sample of twelve doughnuts contains exactly
three doughnuts weighing less than the design weight?
b)
What is the probability that the sample contains more than three doughnuts
weighing less than the design weight?
c) In a sample of twelve doughnuts, what is the expected number of doughnuts
weighing less than the design weight?
Transcribed Image Text:Twelve doughnuts sampled from a manufacturing process are weighed each day. The probability that a sample will have no doughnuts weighing less than the design weight is 6.872%. a) What is the probability that a sample of twelve doughnuts contains exactly three doughnuts weighing less than the design weight? b) What is the probability that the sample contains more than three doughnuts weighing less than the design weight? c) In a sample of twelve doughnuts, what is the expected number of doughnuts weighing less than the design weight?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar 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