Suppose you are studying deliveries made by a shipping company. Suppose you find that 86% of this company's deliveries are made on time. Further suppose each delivery is independent. Finally suppose that you are studying a sample of 15 deliveries from this company. (a) What is the chance that exactly 11 of these deliveries are made on time? (b) What is the chance that less than 14 of these deliveries are made on time? For parts (c)/(d) suppose you are now studying a sample of 950 deliveries from this company. (c) Show why it is appropriate to approximate this situation with a normal random variable. (d) Using the normal distribution, what is the chance that more than 800 of these 950 deliveries are made on time?

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
Suppose you are studying deliveries made by a shipping company. Suppose you find that 86% of
this company's deliveries are made on time. Further suppose each delivery is independent. Finally
suppose that you are studying a sample of 15 deliveries from this company.
(a) What is the chance that exactly 11 of these deliveries are made on time?
(b) What is the chance that less than 14 of these deliveries are made on time?
For parts (c)/(d) suppose you are now studying a sample of 950 deliveries from this company.
(c) Show why it is appropriate to approximate this situation with a normal random variable.
(d) Using the normal distribution, what is the chance that more than 800 of these 950
deliveries are made on time?
Transcribed Image Text:Suppose you are studying deliveries made by a shipping company. Suppose you find that 86% of this company's deliveries are made on time. Further suppose each delivery is independent. Finally suppose that you are studying a sample of 15 deliveries from this company. (a) What is the chance that exactly 11 of these deliveries are made on time? (b) What is the chance that less than 14 of these deliveries are made on time? For parts (c)/(d) suppose you are now studying a sample of 950 deliveries from this company. (c) Show why it is appropriate to approximate this situation with a normal random variable. (d) Using the normal distribution, what is the chance that more than 800 of these 950 deliveries are made on time?
Expert Solution
steps

Step by step

Solved in 4 steps with 31 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