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TSN79
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Homework Statement
A smoke detector has a 92% chance of functioning properly.
If there are 3 of these, what are the chances at least one of them will go off during a fire?
Homework Equations
Standard binomial distribution I believe. X~B(n, p)
The Attempt at a Solution
P(X>=1) = P(X=3)+P(X=2)+P(X=1)
When placing this into the equation I end up with ~0.996.
Can someone verify?