Solving problem N3985 Bayesian probability theory

Solving problem N3985 Bayesian probability theory

3985. The store has TVs with imported and domestic tubes in the ratio of 2: 9. The probability of failure during the warranty period of the TV with the import tube is 0.005; with a domestic tube, it is 0.01. a) Find the probability that the TV purchased in the store will withstand the warranty period. b) The purchased TV sustained the warranty period. What is the probability that he is with the domestic tube?

Additional information:

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