Question

In: Statistics and Probability

Recent crime reports indicate that 17.3 motor vehicle thefts occur every hour in Canada. Assume that...

Recent crime reports indicate that 17.3 motor vehicle thefts occur every hour in Canada. Assume that the distribution of thefts per hour can be approximated by a Poisson probability distribution.

a. Calculate the probability exactly four thefts occur in an hour.(Round the final answer to 5 decimal places.)

Probability            

b. What is the probability there are no thefts in an hour? (Round the final answer to 5 decimal places.)

Probability            

c. What is the probability there are at least 20 thefts in an hour? Use excel or online calculator to find the answer. (Round the final answer to 5 decimal places.)

Probability            

Solutions

Expert Solution

a. Calculate the probability exactly four thefts occur in an hour.

P(X = 4) = 0.00011

b. What is the probability there are no thefts in an hour?

P(X = 0) = 0.00000

c. What is the probability there are at least 20 thefts in an hour?

P(x > = 20) = 0.27187


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