Question

A hospital receives 30% of its COVID-19 vaccine shipments from Ghana Health Service and the remainder of its shipments from neighbouring West African countries. Each shipment contains a very large number of vaccine vials. For GHS’s shipments, 8% of the vials are ineffective and for the neighbouring countries, 3% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one is ineffective. What is the probability that the shipment came from neighbouring West African countries?

Answer 1

Probability of one vial from GHS being ineffective of randomly selected 30 vial is

Probability of one vial from West aAfrican countries being ineffective of randomly selected 30 vial is

probability that of 30 randomly selected, one vial came from neighbouring West African countries given that it was ineffective is