a 7) Assume that we have four cities w2y and z. The four cities are locates on the corners of a square. There is an elec

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A 7 Assume That We Have Four Cities W2y And Z The Four Cities Are Locates On The Corners Of A Square There Is An Elec 1 (34.42 KiB) Viewed 18 times

a 7) Assume that we have four cities w2y and z. The four cities are locates on the corners of a square. There is an electric line which we designate by a going from w to x. Another line designated by b goes from I to y. Finally there is a line going from y to z denoted by a whilst line d goes from z tow. There is a power plant outside city y which is connected with a line f to city y and no other city. All the electricy for the four cities come from this power plant. Hence, the lines build a square and on top there is line / going from the powerplant to city y. Let A be the event that line a works, whilst B is the event that line b works. Finally let C be the event that line c works and let D be the event that lined works and F be the event that the line f works. All these lines work independently of each other. We assume that the probabilities 1 Po = P(A), P=P(B). Pe= =P(C). P=P(D).P = P(F) are all known I a) Calculate the probability that electricity can flow from the power plant to city w (in terms of Pa Pe Pe Pa and py). b) Let E designate the event that electricity can flow from the power plant to w. Calculate the condition probability that works, given the event E. That is calculate P(CE). It is ok, to leave P(E) is is. since anyhow you calculated it in part a))