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    probability of a line

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    Consider a (n x k) crossbar switch with k < n. Suppose the probability of a line being in use is p. What is the probability that the switch is blocked for the next caller?

    a. 1-(1-p)^(n-k)

    b. (n!/(k!*(n-k)!))*p^k

    c. (p^k)*(1-p)^(n-k)

    d. Sum(j=1,k)((n!/(j!*(n-j)!))*p^j

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    Solution Summary

    The probability of a line is determined. A switch blocker for the next callers are examined.