Answer:
The value is [tex]P(X = 3) = 0.1804[/tex]
Step-by-step explanation:
From the question we are told that
The number of customer that enter the tellers every 5 minutes is [tex]\lambda = 2[/tex]
Generally the probability that exactly three customers enter the queue in a randomly selected five-minute period is mathematically represented as
[tex]P(X = 3) = \frac{e^{- \lambda} * \lambda^{3}}{3!}[/tex]
=> [tex]P(X = 3) = \frac{e^{- 2} * \lambda^{3}}{3!}[/tex]
=> [tex]P(X = 3) = 0.1804[/tex]
