A network engineer is examining a set of 10 wireless access points. At any given time, an access pointcan be in one of the following three states: (on), stand-by (sb) or error (err). Assume that all states areequally probable and independent of each other.
a) How many possible state patterns are available for these 10 access points at any given time (e.g. 1stpoint on, 2nd point err, 3rd point on, 4th point sb, …10th point on is one possible state pattern)?
b) What is the probability that the engineer will find the 10 access points in this configuration: any 3access points in the ‘on’ state, any 5 in the ‘sb’ state and any 2 in the ‘err’ state?
a - 3^10 = 59049
b - on on on sb sb sb sb sb err err = 1 / 59049
Is this correct? I'm not sure.
a) How many possible state patterns are available for these 10 access points at any given time (e.g. 1stpoint on, 2nd point err, 3rd point on, 4th point sb, …10th point on is one possible state pattern)?
b) What is the probability that the engineer will find the 10 access points in this configuration: any 3access points in the ‘on’ state, any 5 in the ‘sb’ state and any 2 in the ‘err’ state?
a - 3^10 = 59049
b - on on on sb sb sb sb sb err err = 1 / 59049
Is this correct? I'm not sure.