Consider a production process of making ball bearings where the probability of a defective bearing is .01. What is the probability of having 10 defective bearings out of 1000?

Since n is very large and p is small, we can use the Poisson approximation to the binomial with
λ = E(x) = np = 1000 × .01 = 10.
P(X = k) = [{e-10 (10)k} / {k!}]
P(X = 10) = [{e-10 (10)10} / {10!}].
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rcm guide reliability-centered maintenance guide
Sep 5, 2008 ... Figure 2-1 shows the failure distribution of a group of thirty identical 6309 deep groove ball bearings installed on bearing life test ...
For more information, see rcm guide reliability-centered maintenance guide
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