Mathematics, 25.03.2020 17:31 makonfaknk
In 2011, New York City has a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p. m. and 6 p. m. (new York State Department of Motor Vehicles website, October 24, 2012). This corresponds to mean of 14.4 accidents per hour.
a. Compute the probability of no accidents in a 15-minute period.
b. Compute the probability of at least one accident in a 15-minute period.
c. Compute the probability of four or more accidents in a 15-minute period.
Answers: 1
-mean occurrences of the event
![P(X\geq 4)=1-P(X\leq 3)=1-[P(X=0)+P(X1)+P(X=2)+P(X=3)]\\\\=1-[5.574\times10^{-7}+a. \ 8.026\times10^{-6}+\frac{14.4^2e^{-14.4}}{2!}+\frac{14.4^3e^{-14.4}}{3!}]\\\\=1-[8.584\times 10^{-6}+5.779\times10^{-5}+2.774\times10^{-4}]\\\\=0.9997](/tpl/images/0563/1208/1b77c.png)
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