y 1 6 E Homework Help - Q&A fron X Summative Assessment x Classwork for Grade 9 Dalto X Q2 Wk 7 Basic Statistics Lea X + V X -> C docs.google.com/document/d/1nKhL2EufLR9ie4WxJ2cVI4YG8mquxxC_1pPEOT7vEcE/edit ... Q2 Wk 7 Basic Statistics Learners Copy * @ @ Share C File Edit View Insert Format Tools Extensions Help Accessibility Last edit was seconds ago $ A 7 100% Normal text Times New... 11 + B I U A . CPM BEBB EV EEX 31 21 17 1 1 1 11 1 1 12 1 13 . 1 4 1 1 . 8 . 1 1 9 1 1 10 1 71 1 12 1 13 1 14 1 15 1 16 1 17 1 18 1 Learning Competency: Solves problems involving Bayes' Rule. Direction: The problem has been solved for you. Your task is to spot errors in the solution. Then fill-in the table that follow. A construction company employs 3 consulting firms (M, N, and Q) with probabilities 0. 15, 0.35, C 20 and 0.20, respectively. From past experience, it is known that the probability of cost overruns for the firms are 0.05, 0.08, and 0.07, respectively. Suppose a cost overrun is experienced by the company, what is the probability that the consulting firm involved is firm N? Solution: Let C = the event that the company experience cost overrun P(M) = 0. 15 P(N) = 0.35 P(Q) = 0.20 23 P(M) = 0. 05 P(C) = 0. 08 P(C) = 0. 07 Using Bayes' Rule 24 P(C) = P(C) P(NOC) P(NnC) = P(N)P(N) = (0. 35) (0. 08) = 0. 28 + 25 P(C) = P(M) P(C) + P(N) P(N) + P(Q) P(Q) = (0. 15) (0. 05) + (0. 35) (0. 08) + (0. 20) (0. 07) = 0. 075 + 0. 28 + 0. 14 = 0. 495 Thus, P(C) = 0.28 0.495 = = 0.57 Identified Error Correction of the error Explanation of the Correction + Type here to search O W 31 'C ~ D' E () ENG 4:05 pm 30/06/2022