Solution of problem N3995 probability theory total prob

Solution of problem N3995 probability theory total prob

3995. 45% of the TVs available in the store are made at the plant I, 15% at the plant II, and the rest at the plant III. The chances that TVs will not require repairs during the warranty period are 0.96, 0.84, 0.9, respectively. Find the probability that the TV purchased at random will withstand the warranty period of work.

Additional information:

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