Statistics Question
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1
Given, A factory received a shipment of 10 flanges and 3 of them are defective.
Total number of flanges = 10
Defective flanges =3
Non-defective flanges = 7
Step 2
a) If a sample of 3 flanges is selected, the probability that all flanges are defective:
A sample of size 3 , from a population of 10 units can be drawn in 10C3 ways.
Now, to achieve the event "all 3 are defective" , The receiving foreman must select all 3 out of 3 defectives , which can be done in 3C3 = 1 way
Therefore, P(All in the sample are defective) = 3C3/10C3 = 1/120 = 0.008
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