6) (15 points) 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) 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