The arrival rate of customers arriving at a bank counter follows a Poisson distribution with a mean rate of 4 per 10 minutes interval. Find the probability that i. Exactly 0 customer will arrive in 10 minutes interval ii. Exactly 2 customers will arrive in 10 minutes interval iii. At most 2 customers will arrive in 10 minutes interval iv. At least 3 customers will arrive in 10 minutes interval
Let be the number of customers arriving in 10 minutes interval.
has distribution, hence .
i. .
ii. .
iii.
iv.
Answer: i. , ii. , iii. , iv. .
Comments
Dear Keshav Goyal, thank you for correcting us.
It would be total of 13e(-4) in the third part because 1e(-4) + 4e(-4) + 8e(-4) = 13e(-4) which is equal to 0.2379.
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