Question 629617
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
60% are purchased from company A, and 40 % are from Company B. 
2% of those supplied by company A and 1% of those supplied by Company B are known to be defective.
(a) Draw a tree diagram to represent the possible outcomes when a single component is selected at random.
unable to Draw tree diagrams on this site
 (b) A component is selected at random. 
(i) P(Co A and defective) = {{{.6*.02}}} = .012
    P(Co B and defective) =  {{{.4*.01}}}
(ii) P(defective) = {{{.6*.02}}} + {{{.4*.01}}} = .012 + .004 = .016
    P(A|B) = P(A and B)/P(B)  
P(Co A| Def) =  {{{.012/.016 }}}