Answer:
5.57% probability that exactly 20 customers arrive in the next hour
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
24 people per hour to a bank.
This means that [tex]\mu = 24[/tex]
What is the probability that exactly 20 customers arrive in the next hour
This is P(X = 20).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 24) = \frac{e^{-20}*(20)^{24}}{(24)!} = 0.0557[/tex]
5.57% probability that exactly 20 customers arrive in the next hour
