The number of cracks in a ceramic tile has a Poisson distribution with parameter = 2.4.

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The number of cracks in a ceramic tile has a Poisson distribution with parameter λ = 2.4.
(a) How would you approximate the distribution of the total number of cracks in 500 ceramic tiles?
(b) Estimate the probability that there are more than 1250 cracks in 500 ceramic tiles.
Distribution
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