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probability of a line

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

Solution Summary

The probability of a line is determined.

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