In this question, I don't understand the highlight why it get 10.5 since the question is only 10? Please help me to explain it.
In this question, I don't understand the highlight why it get 10.5 since the question is only 10? Please help me to explain it.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
In this question, I don't understand the highlight why it get 10.5 since the question is only 10? Please help me to explain it. Thank you!
Transcribed Image Text:25+Test...
X 2018-11-13+Test2...
X Lecture+9+Notes...
X Lecture+10+Notes...
X Lecture+11+Notes...
X Lecture+7+Notes...
X Lecture+8+Notes...
2019-06-19+T... U.
T
A factory which produces chips in lots of ten thousand uses the following scheme to check the quality
of its product. From each lot of chips produced, a random sample of size 500 chips is taken. If the
sample contains 10 or less defectives, the lot is passed. If the sample contains more than 10 defectives,
another random sample of size 500 is chosen from the lot. If this sample contains 10 or less defectives,
the lot is passed. Otherwise the lot is rejected. If a lot actually contains 5% defectives, find the
probability that it will pass.
Solution: Given that the percent of defectives in the lot is p=0.05.
In a random sample of 500, the probability of getting 10 or less defectives is
500
500
500
(0.0s)" (0.95)*90
+ (0.0s) (0.95)*91
o.os) (0.95)00
...+
10
9
which can be approximated using the normal distribution.
H = np = 500(0.05)= 25, o²
= npq = 500(0.05)(0.95) = 23.75 .
X - u
10.5 – 25
Hence P(X <10.5)= P
= P(Z <-2.975)= 0.0014
V23.75
The lot will
pass
if
a random sample of 500 contains 10 or less defectives, or
(1)
(2) the sample in (1) contains more than 10 defectives, and another random sample of 500 contains
10 or less defectives
P(lot will pass)= 0.0014 + (1-0.0014)(0.0014) = 0.002798
1 Previous
Next
Dashboard
Calendar
Тo Do
Notifications
Inbox
000
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman