Q6. The probability of the switch i to be closed (i.e., connected) is p. We want...

 

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Q6. The probability of the switch i to be closed (i.e., connected) is p₁. We want to know the probability PAB for the current to be able to flow from A to B (the current can go through switch 3 in either direction when it is closed). Answer the following questions and show your derivation steps. (i) A- 47 2 B [10pt] If the switches open or close independently, what is PAB? Express using pi [10pt] If p = 90%, but we do not assume the switches are necessarily independent, what is the minimum of PAB? Q6. The probability of the switch i to be closed (i.e., connected) is p₁. We want to know the probability PAB for the current to be able to flow from A to B (the current can go through switch 3 in either direction when it is closed). Answer the following questions and show your derivation steps. (i) A- 47 2 B [10pt] If the switches open or close independently, what is PAB? Express using pi [10pt] If p = 90%, but we do not assume the switches are necessarily independent, what is the minimum of PAB?

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ANSWER i If the switches open or close independently the... View the full answer