SOLUTION: Successful implementation of a new system is based on three independent modules. Module 1 works properly with probability 0.96. For modules 2 and 3, these probabilities equal 0.95

Algebra ->  Probability-and-statistics -> SOLUTION: Successful implementation of a new system is based on three independent modules. Module 1 works properly with probability 0.96. For modules 2 and 3, these probabilities equal 0.95      Log On


   



Question 1052507: Successful implementation of a new system is based on three independent modules. Module
1 works properly with probability 0.96. For modules 2 and 3, these probabilities equal 0.95
and 0.90. Compute the probability that at least one of these three modules fails to work
properly.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Do it backwards, find the probability that none fail to work.
P=0.96%2A0.95%2A0.90
P=0.8208
The complement of this calculated probability is that at least one of the modules fails to work.
So,
P=1-0.8208
P=0.1792