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 x 0 1 2 3 4 P(x) 0.39 0.32 0.23 0.05 0.01 Find the probability that (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.
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 x 0 1 2 3 4 P(x) 0.39 0.32 0.23 0.05 0.01 Find the probability that (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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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
x 0 1 2 3 4
P(x) 0.39 0.32 0.23 0.05 0.01
Find the probability that
(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.
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