MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
100%
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pairs 
(1, 2)
 and 
(2, 1)
 represent the selection of boards 1 and 2 for inspection.
(a)
List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.)
 
 
 
(b)
Suppose that boards 1 and 4 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution of X.
x 0 1 2
p(x)                         
(c)
Let 
F(x)
 denote the cdf of X. First determine 
F(0) = P(X ≤ 0),
 
F(1),
 and 
F(2);
 then obtain 
F(x)
 for all other x.
F(x) = 
 
 ,      x < 0
 ,      0 ≤ x < 1
 ,      1 ≤ x < 2
 ,      2 ≤ x
Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected
from each batch for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pairs (1, 2) and (2, 1) represent the selection of boards 1 and 2 for inspection.
(a) List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.)
(b) Suppose that boards 1 and 4 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the
probability distribution of X.
p(x)
(c) Let F(x) denote the cdf of X. First determine F(0) = P(X < 0), F(1), and F(2); then obtain F(x) for all other x.
x < 0
0 < x < 1
F(x) =
1< x < 2
2 < x
expand button
Transcribed Image Text:Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pairs (1, 2) and (2, 1) represent the selection of boards 1 and 2 for inspection. (a) List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.) (b) Suppose that boards 1 and 4 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution of X. p(x) (c) Let F(x) denote the cdf of X. First determine F(0) = P(X < 0), F(1), and F(2); then obtain F(x) for all other x. x < 0 0 < x < 1 F(x) = 1< x < 2 2 < x
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman