The average number of customers arriving at a bank's counter per minute is 2. Find the
probability that during a given minute:
© No customer arrives
(i) Three or more customer arrives
Answers
Given : The average number of customers arriving at a bank's counter per minute is 2.
To Find : the probability that during a given minute:
No customer arrives
Three or more customer arrives
Solution:
P(x) = λˣ e^(-λ) / x!
Mean arrival rate of customers per Minute = λ = 2
probability that during a given minute:
No customer arrives
x = 0
P(0) = 2⁰ e⁻² / 0!
= 1 /e²
= 0.135
Three or more customer arrives
= 1 - P(0) - P(1) - P(2)
= 1 - 2⁰ e⁻² / 0! - 2¹ e⁻² / 1! - 2² e⁻² / 2!
= 1 - 1/e² - 2/e² - 2/e²
= 1 - 5/e²
= 0.323
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