# 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

© BrainMass Inc. brainmass.com June 1, 2020, 4:34 pm ad1c9bdddfhttps://brainmass.com/computer-science/algorithms/probability-line-switch-board-102307

#### Solution Summary

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

$2.19