Solution Found!
The probability of the closing of the ith relay in the
Chapter 3, Problem 66P(choose chapter or problem)
The probability of the closing of the ith relay in the circuits shown in Figure 3.4 is given by \(p_i\), i = 1, 2, 3, 4, 5. If all relays function independently, what is the probability that a current flows between A and B for the respective circuits?
Hint for B: conditions on whether relay 2 closes
Questions & Answers
QUESTION:
The probability of the closing of the ith relay in the circuits shown in Figure 3.4 is given by \(p_i\), i = 1, 2, 3, 4, 5. If all relays function independently, what is the probability that a current flows between A and B for the respective circuits?
Hint for B: conditions on whether relay 2 closes
ANSWER:
Step 1 of 3
(a)
We are asked to find the probability that a current flows between \(A\) and \(B\) for the respective circuits.
The probability of the closing of the ith relay in the circuits shown in the figure is given by \(p_{i}=1,2,3,4,5\).
Given all the relays function independently.
Let \(E\) be the event that current flows from \(A\) to \(B\). Then