SOLUTION: A computer has 100 components. The probability that a component will fail is 0.0022. Assuming that the components function independently, what is the probability that between 1 and

Question 1001229: A computer has 100 components. The probability that a component will fail is 0.0022. Assuming that the components function independently, what is the probability that between 1 and 3 components will fail??
Confused as to how to even start this question. An explanation of the solution would be greatly appreciated!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The probability of failure can be modeled as a function of the number of components that fail,

So for between 1 and 3 components failing calculate , , and and sum the probabilities.

.
.
.

So then,

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