A lot containing 7 components is sampled by o quality inspector. The lot contains 4 good components and 3 defective components. Sample of 3 is taken by the inspector. Let X represent the number of good components in sample. Probability distribution of X is f( x)= / 4\[3 x/[3-x x=0,1,2,3 7 3 What is the expected value of the number of good components in this sample? What is the variance and standard deviation of the discrete random variable?

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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A lot containing 7 components is sampled by a
quality inspector. The lot contains 4 good
components and 3 defective components.
Sample of 3 is taken by the inspector. Let X
represent the number of good components in
sample. Probability distribution of X is
f( x)= / 4
3
(3-х
,x=0,1,2,3
7
What is the expected value of the number of
good components in this sample? What is the
variance and standard deviation of the
discrete random variable?
Transcribed Image Text:A lot containing 7 components is sampled by a quality inspector. The lot contains 4 good components and 3 defective components. Sample of 3 is taken by the inspector. Let X represent the number of good components in sample. Probability distribution of X is f( x)= / 4 3 (3-х ,x=0,1,2,3 7 What is the expected value of the number of good components in this sample? What is the variance and standard deviation of the discrete random variable?
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