Consider three telephone circuits from the USA to Europe belonging to a company. Measurements reveal that during
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Question:
(a) Let p be the independent probability that a single circuit is busy. Find a numerical value of p and show how you arrived at it.
(b) Write an expression for the probability a given call goes through (finds a free circuit).
(c) Write an expression for the probability that, at a given instant, exactly one circuit is free.
(d) Write an expression for the average number of busy channels. Hint: Write it as a weighted sum.
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