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In Hawaii, the rate of motor vehicle theft is 469 thefts per 100,000 vehicles. A large...

In Hawaii, the rate of motor vehicle theft is 469 thefts per 100,000 vehicles. A large parking structure in Honolulu has issued 414 parking permits. (a) What is the probability that none of the vehicles with a permit will eventually be stolen? (Round λ to 1 decimal place. Use 4 decimal places for your answer.) (b) What is the probability that at least one of the vehicles with a permit will eventually be stolen? (Use 4 decimal places.) (c) What is the probability that seven or more vehicles with a permit will eventually be stolen? (Use 4 decimal places.)

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Answer #1

Since rate is 469 per 100,000 cars, so probability of theft is 0.000469.

Sample mean is

a) Using Poisson distribution we have the required probability is

b) Required probability is

c) Required probability is

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