We are now investigating the energy efficiency of the buildings to make a decisi

Question

We are now investigating the energy efficiency of the buildings to make a decision on whether to go for slightly expensive energy efficient material or the traditional material. We have collected data from 100 different building materials. It turns out that approximately 80 samples fall in the energy efficient category, i.e., the probability of finding a building material with energy efficiency is 0.8, and of traditional material is 0.2. For the energy efficient building materials, only 60 meet the

Explanation / Answer

P1 = probability that sample meets code sandards =60/100+10/100 =0. 70

P2 = probability of selecting building material from the energy efficient category

     = 0.8

P = probability of selecting building material from the energy efficient category given that the sample met code

     standards

   = P2*p1

   =0.8*0.7

   = 0.56

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