SOLUTION: Any help with this question is much appreciated! Recent crime reports indicate that 17.6 motor vehicle thefts occur every hour in Canada. Assume that the distribution of thefts

Question 1118072: Any help with this question is much appreciated!
Recent crime reports indicate that 17.6 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:

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The Poisson Probability(P) Distribution formula is
:
P (x, mu) = (e^-mu)*(mu^x)/x!, where mu=17.6 thefts/hour, e=2.71828
:
a) P (4, 17.6) = (e^-17.6) * (17.6^4)/4! = 0.00000
:
b) P (0, 17.6) = (e^-17.6) * (17.6^0)/0! = 0.00000
:
c) P (x>=20, 17.6) = 1 - summation i = 0, 19 of P(i, 17.6) = 0.31406
:

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