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In: Statistics and Probability

Suppose that an automobile has a painted surface area of 270 ft2 . After a decade...

Suppose that an automobile has a painted surface area of 270 ft2 . After a decade of use, the number of scratches on this automobile follows a Poisson distribution, with a rate of λ = 0.025 scratch/ft2 .

(a) Compute the mean and variance of the number of scratches on the car after a decade of use.

(b) Compute the probability that the entire car has at most four scratches after a decade of use.

(c) Compute the probability that the entire car has more than seven scratches after a decade of use.

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orchestra answered 2 years ago
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