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 3 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. p(x) (c) Let F(x) denote the cdf of X. First determine F(0) = P(X s 0), F(1), and F(2); then obtain F(x) for all other x. x<0 Osx<1 F(x) =. 1sx<2 2sx
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 3 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. p(x) (c) Let F(x) denote the cdf of X. First determine F(0) = P(X s 0), F(1), and F(2); then obtain F(x) for all other x. x<0 Osx<1 F(x) =. 1sx<2 2sx
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 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 3 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.
p(x)
(c) Let F(x) denote the cdf of X. First determine F(0) = P(X s 0), F(1), and F(2); then obtain F(x) for all other x.
Osx<1
F(x) =
1sx< 2
2sx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd8754a6-9838-44f8-ac24-fd52f02bad0b%2F334abd17-832a-4b12-a0af-816db561dc2a%2Fp8gsjwh_processed.png&w=3840&q=75)
Transcribed Image Text: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 3 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.
p(x)
(c) Let F(x) denote the cdf of X. First determine F(0) = P(X s 0), F(1), and F(2); then obtain F(x) for all other x.
Osx<1
F(x) =
1sx< 2
2sx
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