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a) Draw a tree diagram displaying the probabilities.

a) Draw a tree diagram displaying the probabilities.

MATLAB: An Introduction with Applications
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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6) A company which produces a particular drug has two factories, A and B. 30% of the drug are made in factory A and the rest in factory B. Of the drugs produced by factory A, 95% meet specifications. Meanwhile, of the drugs produced in factory B, only 75% of the drugs meet specifications. Suppose A = factory A, B = factory B, M = meets specifications, and NM = does not meet specifications. a) Draw a tree diagram displaying the probabilities. P (M |A) P (M and A) at lewer 9 Rond P (A) P (NM | A) P (NM and A)_ P (M B) P (B) P (M and B). P (NM | B) P (NM and B)_ b) Draw the contingency table of all the "and" probabilities: Total Total c) What is the probability that a drug meets specifications or is produced in factor A? d) Given that the drug meets specifications, what is the probability it was produced in factory B?
Transcribed Image Text:6) A company which produces a particular drug has two factories, A and B. 30% of the drug are made in factory A and the rest in factory B. Of the drugs produced by factory A, 95% meet specifications. Meanwhile, of the drugs produced in factory B, only 75% of the drugs meet specifications. Suppose A = factory A, B = factory B, M = meets specifications, and NM = does not meet specifications. a) Draw a tree diagram displaying the probabilities. P (M |A) P (M and A) at lewer 9 Rond P (A) P (NM | A) P (NM and A)_ P (M B) P (B) P (M and B). P (NM | B) P (NM and B)_ b) Draw the contingency table of all the "and" probabilities: Total Total c) What is the probability that a drug meets specifications or is produced in factor A? d) Given that the drug meets specifications, what is the probability it was produced in factory B?
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