Solving problem N4002 Bayesian probability theory

Solving problem N4002 Bayesian probability theory

4002. The shop receives the same type of products from three plants, with the i-th (i = 1,2,3) plant supplying mi percent of the products (50%, 30%, 20%). Among the products of the i-th plant, ni percent are first-rate (70%, 80%, 90%). Bought one product. It turned out to be first-rate. Determine the probability that the purchased product is produced by the 2nd plant.

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

Discount for regular customers! If the total of your purchases from the seller Massimo86 exceeds:

• $30 discount 10%
• $20 discount 7%
• $18 discount 6%
• $15 discount 5%
• $12 discount 4%
• $9 discount 3%
• $6 discount 2%
• $3 discount 1%