a) Draw a tree diagram displaying the probabilities.  b) Draw the contingency table of all the “and” probabilities:  c) What is the probability that a drug meets specifications?  d) Given that the drug meets specifications, what is the probability it was produced in factory B?

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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. 

b) Draw the contingency table of all the “and” probabilities: 

c) What is the probability that a drug meets specifications? 

d) Given that the drug meets specifications, what is the probability it was produced in factory B? 

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