SOA Exam P Sample Question 27
Study guide: Exam P-1
A hospital receives 1/5 of its flu vaccine shipments from Company X and the remainder of its shipments from other companies. Each shipment contains a very large number of vaccine vials.
For Company X's shipments, 10% of the vials are ineffective. For every other company, 2% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one vial is ineffective.
Calculate the probability that this shipment came from Company X.
- A) 0.10
- B) 0.14
- C) 0.37
- D) 0.63
- E) 0.86
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