Question

Checking my homework answer.

for a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.22 probability of failure.
my answer
would it be unusual to observe one component fail? Two components?
A. It would not be unusual to observe one component fail since that one fails, 0.22 is greater than 0.05, and it would not be unusual to observe 2 components fail since the probability that 2 components fail. 0.0484 is greater than 0.05. One part of my answer is wrong but which one I do not know. Please check. Thank you

Answer 1

Your answer is almost correct! It would not be unusual to observe one component fail since the probability of one component failing is 0.22, which is greater than the threshold of 0.05. However, it would be unusual to observe two components fail since the probability of two components failing is 0.22 * 0.22 = 0.0484, which is less than the threshold of 0.05. So, the second part of your answer is incorrect.

Answer 2

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