Solved Final Exam - Probability and Statistics In Engineering I | IE 23000, Exams of Probability and Statistics

Download Solved Final Exam - Probability and Statistics In Engineering I | IE 23000 and more Exams Probability and Statistics in PDF only on Docsity! IE 230 — Probability & Statistics in Engineering I yy Name k e@ 4 " 10. (Montgomery and Runger, Example 3-27) Consider an electrical network with two components that function independently of each other. Electricity flows if either component functions. Let T denote the event that the top component functions; let B 4, KH, denote the event that the bottom component functions. Let W=7 WB denote the event that electricity flows through the network. (a) Find P(W). p(wy= PCT) + PCB) ~ PC TAB) slusass = PCD) +PCB) — PCT) PCR) __independet (b) State, in the context of this problem, the meaning of P(W | 7”). The blcebhived Th he electreity Chess even thong h he te p Com ponents does hot Finction . (c) Find P(W | 7’). PiwiTos Pe = ms pact ans (d) Find PCT” | W). plriaes), POPs pas) pcwir xe p(w) pc) rr-ec7y) Soo piryt e(@) = pcayPCB) Final Exam, Fall 2000 Page 8 of 8 Schmeiser