A textile company obtains samples of fabrics from a production line and observes their colors. Suppose...
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A textile company obtains samples of fabrics from a production line and observes their colors. Suppose one has a box of ten fabrics (4 are white, 3 are red, and 3 are black). One selects five fabrics out of the box (without replacement) and counts the number of white and red fabrics in the sample. X = number of selected red fabrics, Y = number of selected white fabrics Suppose this calculation is performed for every possible pair of values of X and Y. The table of probabilities is given: X 0 1 2 3 b= 4 c= 0 Y 0 1 2 0 0 b/252 0 (b+3)/252 (b+2*c)/252 (b+2*c)/252_c/252 c/252 (b+2*c)//252 (b+3*c)/252 (b+3)/252 0 c/252 (b+3)/252 b/252 0 0 4 3 (b+3)/252 ? I) Find the probability of P (X=4, Y=0). II) Draw (graph) marginal probability mass function of X. III) Find the probability that one samples the same number of white and red fabrics. IV) Find the probability one samples more red fabrics than white fabrics. V)Find the probability of observing two white fabrics in case we have two red fabrics. If one of the letters (b or c) is zero (0), take one (1). A textile company obtains samples of fabrics from a production line and observes their colors. Suppose one has a box of ten fabrics (4 are white, 3 are red, and 3 are black). One selects five fabrics out of the box (without replacement) and counts the number of white and red fabrics in the sample. X = number of selected red fabrics, Y = number of selected white fabrics Suppose this calculation is performed for every possible pair of values of X and Y. The table of probabilities is given: X 0 1 2 3 b= 4 c= 0 Y 0 1 2 0 0 b/252 0 (b+3)/252 (b+2*c)/252 (b+2*c)/252_c/252 c/252 (b+2*c)//252 (b+3*c)/252 (b+3)/252 0 c/252 (b+3)/252 b/252 0 0 4 3 (b+3)/252 ? I) Find the probability of P (X=4, Y=0). II) Draw (graph) marginal probability mass function of X. III) Find the probability that one samples the same number of white and red fabrics. IV) Find the probability one samples more red fabrics than white fabrics. V)Find the probability of observing two white fabrics in case we have two red fabrics. If one of the letters (b or c) is zero (0), take one (1).
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Answer i Plugging the values b 4 and c 0 And also Sum of all ... View the full answer
Related Book For
Managing Supply Chain and Operations An Integrative Approach
ISBN: 978-0132832403
1st edition
Authors: Thomas Foster, Scott E. Sampson, Cynthia Wallin, Scott W Webb
Posted Date:
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