The probability distribution of random variable X, that represent the number of defects per 20 meters of a certain fabric in continuous rolls of uniform width, is given in the following table Table: 1 Lists the number of defects per 20 meters of a certain fabric 1 3 4 P(x) | 0.39| 0.32 C 0.05 0.01 Find the probability that (a) Find the value of C? (b) not more than 2 defects would found in per 20 meters of this fabric. (c) at least 2 defects would found in per 20 meters of this fabric.

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
Please solve it
Q. NO 1
Probability Distribution (Discrete Random
Variable)
The probability distribution of random variable X, that represent the number of defects per 20
meters of a certain fabric in continuous rolls of uniform width, is given in the following table
Table: 1 Lists the number of defects per 20 meters of a certain fabric
1
3
4
P(x) 0.39|| 0.32
0.05 0.01
Find the probability that
(a) Find the value of C?
(b) not more than 2 defects would found in per 20 meters of this fabric.
(c) at least 2 defects would found in per 20 meters of this fabric.
(d) Compute the expected number of defects per 20 meters of this fabric.
(e) Compute the standard deviation of the defects per 20 meters of this fabric.
(f) Let the selling price of this fabric is related to X and defined by the function 'S(x) = 50-4x' in
dollars. Compute the average expected sales per 20 meters of this fabric.
Transcribed Image Text:Q. NO 1 Probability Distribution (Discrete Random Variable) The probability distribution of random variable X, that represent the number of defects per 20 meters of a certain fabric in continuous rolls of uniform width, is given in the following table Table: 1 Lists the number of defects per 20 meters of a certain fabric 1 3 4 P(x) 0.39|| 0.32 0.05 0.01 Find the probability that (a) Find the value of C? (b) not more than 2 defects would found in per 20 meters of this fabric. (c) at least 2 defects would found in per 20 meters of this fabric. (d) Compute the expected number of defects per 20 meters of this fabric. (e) Compute the standard deviation of the defects per 20 meters of this fabric. (f) Let the selling price of this fabric is related to X and defined by the function 'S(x) = 50-4x' in dollars. Compute the average expected sales per 20 meters of this fabric.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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