A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m

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A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m2 of surface. The number of flaws on an area of surface follows a Poisson distribution.

a. What is the probability that a surface with area 3 m × 5 m will contain more than 5 flaws?

b. What is the probability that a surface with area 2 m × 3 m will contain no flaws?

c. What is the probability that 50 surfaces, each with dimensions 3 m × 6 m, will contain more than 350 flaws in total?

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