6) Assune vertices's: (see black board) the segments a and b go in parallel from r to z. Finally c goes also from y to z. Each of the segments works independently form the others. Let A be the event that segment a works, let B be the event that segment b works.... Let pa be P(A). Let po be equal to P(B).... We assume that pa, the probability that a works, hence Pa = Pb, Pc, Pd are all given to us. Let E be the event that electricity can flow from a to z. Calculate P(E) in terms of Pa, Pb, Pe and Pd. 7) Same setting as in the previous problem. What is the (conditional) probability that segment a and b work, if we know that E holds (i.e. we know that electricity can flow from r to z.

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6 and 7 are both connected. Please answer both if you can. One part depends on the other.

Pa
be
6) Assune given an electrical network with 3 vertices's and four segments between those
vertices's: (see black board) the seginents a and b go in parallel from r to y, whilst d goes from y
to z. Finally c goes also from y to z. Each of the segments works independently form the others.
Let A be the event that segment a works, let B be the event that segment b works.... Let
P(A). Let pb be equal to P(B).... We assume that pa,
the probability that a works, hence Pa =
Pb, Pc, Pd are all given to us. Let E be the event that electricity can flow from r to z. Calculate
P(E) in terms of pa, Pb, Pe and pd.
7) Same setting as in the previous problem. What is the (conditional) probability that segment
a and b work, if we know that E holds (i.e. we know that electricity can flow from r to z.
Transcribed Image Text:Pa be 6) Assune given an electrical network with 3 vertices's and four segments between those vertices's: (see black board) the seginents a and b go in parallel from r to y, whilst d goes from y to z. Finally c goes also from y to z. Each of the segments works independently form the others. Let A be the event that segment a works, let B be the event that segment b works.... Let P(A). Let pb be equal to P(B).... We assume that pa, the probability that a works, hence Pa = Pb, Pc, Pd are all given to us. Let E be the event that electricity can flow from r to z. Calculate P(E) in terms of pa, Pb, Pe and pd. 7) Same setting as in the previous problem. What is the (conditional) probability that segment a and b work, if we know that E holds (i.e. we know that electricity can flow from r to z.
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