SOLUTION: Suppose you know 2% of all switches are defective. If two switches are used in a device: A. What is probability that both switches are good? B. What is the probability that exac

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose you know 2% of all switches are defective. If two switches are used in a device: A. What is probability that both switches are good? B. What is the probability that exac      Log On


   

Question 893707: Suppose you know 2% of all switches are defective. If two switches are used in a device:
A. What is probability that both switches are good?
B. What is the probability that exactly one switch is good?
C. What Is probability that at least one switch is good?
Please provide steps to get the answer.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A) P%28G%2CG%29=P%28G%29P%28G%29=0.98%280.98%29=0.9604
B) P=P%28G%29P%28B%29%2BP%28B%29P%28G%29=%280.98%29%280.02%29%2B%280.02%29%280.98%29=0.0392
C) This is the complement to both switches are bad.
P%28B%2CB%29=%280.02%29%280.02%29=0.0004
So then,
P=1-0.0004=0.9996
You could have also added the results from A and B.