Reference no: EM131000652
1. An experimental crystallizer produces ?ve different polymorphs of the same crystal via mechanisms that are currently not well-understood. Types 1, 2 and 3 are approved for pharmaceutical application A; Types 2, 3 and 4 for a different application B; Type 5 is mostly unstable and has no known application. How much of each type is made in any batch varied randomly, but with the current operating procedure, 30% of the total product made by the crystallizer in a month is of Type 1; 20% is of Type 2, with the same percentage of Types 3 and 4; and 10% is of Type
2. Assuming that the polymorhps can be separated without loss,
(i) Determine the probability of making product in a month that can be used for application A;
(ii) Given a batch ready to be shipped for application B, What is the probabilities that any crystal selected at random is of Type 2? What is the probability that it is of Type 3 or Type 4. State any assumptions you may need to make.
(iii) What is the probability that an order change to one for application A can be ?lled from a batch ready to be shipped for application B?
(iv) What is the converse probability that an order change to one for application B can be ?lled given a batch that is ready to be shipped for application A?
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