4. (3 pts) Read carefully the example on pp.521-525 (Textbook). (This material was discussed in details in K300 and in details on week 2). a. What is probability that machine sample part is defective given setup is incorrect P(DIC)? b. What is probability that machine sample part is defective given setup is correct P(DC)? What is probability that machine setup is correct given a sample part is not defective P(CND)? c. Marginal probabilities FIGURE 11.7 Probability tree with marginal, conditional, and joint probabilities Conditional probabilities PIRH) = .33 Joint probabilities Red P(RH) = .165 Head P(H) = -50 Bucket 1 Flip a coin PIW H) = .67 P( RT) = .83 White P( WH) = .335 Red P(RT) = .415 Tail P(T) = .50 Bucket 2 PIWT) = .17 -White P(WT) = .085 Draw a Ball TABLE 11.1 Joint probability table Marginal Probabilities Flip a Coin Red White Head Tail P(RH) = .165 P(RT) = .415 P(R) = 580 P(WH) = 335 P(WT) = .085 P(W) = .420 P(H) = .50 P(T) = .50 1.00 Marginal probabilities