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1.60 A manufacturer of a flu vaccine is concerned about the quality of its flu s

ID: 3023978 • Letter: 1

Question

1.60 A manufacturer of a flu vaccine is concerned about the quality of its flu serum. Batches of serum are processed by three different departments having rejec- tion rates of 0.10, 0.08, and 0.12, respectively. The in- spections by the three departments are sequential and independent.

(a) What is the probability that a batch of serum sur- vives the first departmental inspection but is re- jected by the second department?

(b) What is the probability that a batch of serum is rejected by the third department?

Explanation / Answer

well I the inspections by the three departments are independent:

so the probability that a batch is rejected by the seconf department is = 0.1*0.08 =0.8 %

and the probability that a batch is rejected by the third department is = 0.1*0.08*0.12 =0.096%