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 pairs (1, 2) and (2, 1) represent the selection of boards 1 and 2 for inspection.(a)List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.) (b)Suppose that boards 1 and 4 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.x012p(x) (c)Let F(x) denote the cdf of X. First determine F(0) = P(X ≤ 0), F(1), and F(2); then obtain F(x) for all other x.F(x) = , x < 0 , 0 ≤ x < 1 , 1 ≤ x < 2 , 2 ≤ x 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 selectedfrom each batch for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pairs (1, 2) and (2, 1) represent the selection of boards 1 and 2 for inspection.(a) List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.)(b) Suppose that boards 1 and 4 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 theprobability distribution of X.p(x)(c) Let F(x) denote the cdf of X. First determine F(0) = P(X < 0), F(1), and F(2); then obtain F(x) for all other x.x < 00 < x < 1F(x) =1< x < 22 < x

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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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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 pairs

(1, 2)

and

(2, 1)

represent the selection of boards 1 and 2 for inspection.

(a)

List the ten different possible outcomes. (Enter your answers as a comma-separated list of ordered pairs.)

(b)

Suppose that boards 1 and 4 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.