Answered: Many manufacturers have quality control…

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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Question

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 pair (1, 2)
represents the selection of boards 1 and 2 for inspection.

a. List the ten different possible outcomes.
b. Suppose that boards 1 and 2 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.
c. Let F(x) denote the cdf of X. First determine F(0) = P(X≤O). F( 1).
and F(2): then obtain F(x) for all other x.

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