On the average, 7 cars arrive at the drive-up window of a bank every hour. What’s the probability that exactly 5 cars will arrive in the next hour?
If we assume that the number of cars arriving follows a Poisson distribution then the probability of exactly 5 cars appearing in the next hour is:
p = λ5e-λ/5! where λ is the mean arrival rate (= 7 here)
p=75×e(−7)5!⇒p=0.1277166682922896
(For exactly k cars arriving the probability is λke-λ/k!)
.
If we assume that the number of cars arriving follows a Poisson distribution then the probability of exactly 5 cars appearing in the next hour is:
p = λ5e-λ/5! where λ is the mean arrival rate (= 7 here)
p=75×e(−7)5!⇒p=0.1277166682922896
(For exactly k cars arriving the probability is λke-λ/k!)
.