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One thousand sheets of aluminum alloy produced by the same manufacturer were examined for surface flaws....

One thousand sheets of aluminum alloy produced by the same manufacturer were examined for surface flaws. Assume surface flaws occur randomly and independently at a constant rate with an average of 4 flaws per sheet. Sheets are all the same size.

a) [3 points] What is the probability that a randomly chosen sheet contains more than 1 surface flaw?

b) [3 points] When 10 sheets are picked at random, what is the probability that 6 of these sheets have more than 1 surface flaw on them?

c) [4 points] Given that a sheet has more than 1 surface flaw on it, find the probability that it has exactly 10 surface flaws.

Math   Statistics-And-Probability   
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