# EBook Problems Limits Norm2Poisson

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## EBook Problems Set - Normal Approximation to Poisson

### Problem 1

The manufacturing of printer cartridges produces 2% defective cartridges. Assume the cartridges are independent and that a lot contains 1000 cartridges. Approximate the probability that more than 25 cartridges are defective.

(a) 0.129
(b) 0.241
(c) 0.232
(d) 0.699

### Problem 2

After an investigation by the FDA, it is known that 5% of chickens at a local supermarket have salmonella. If 100 chickens are sampled randomly, without replacement, approximate the probability that at least 1 of the chickens have salmonella.

(a) 0.423
(b) 0.966
(c) 0.129
(d) 0.684

### Problem 3

After firing 1000 boxes of ammo, a certain handgun jamed according to a Poisson distribution with a mean of 0.4 per box of ammo. Approximate the probability that more than 350 boxes of ammo contain ammo that jammed.

(a) .0032
(b) .0012
(c) .0231
(d) .0089