Question #157286

Bank customers arrive randomly on week days afternoon at an average of 3.2 customers every 4 minutes. What is the probability of having more than 7 customers in a 4 minute interval on a week day afternoon?


1
Expert's answer
2021-01-29T02:48:17-0500

P(x)=λx×eλx!λ=3.2x=7P(X>7)=1P(X=0)P(X=1)P(X=2)P(X=3)P(X=4)P(X=5)P(X=6)P(X=7)P(x) =\frac{ λ^x \times e^{- λ}} { x!} \\ λ = 3.2 \\ x = 7 \\ P(X>7) =1-P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)-P(X=5)-P(X=6)-P(X=7)

Poisson distribution was used.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

Vincent.K. Miyato
29.01.21, 11:06

You are welcome experts. We are there for each other and I really appreciate your great inputs in helping me out. Let's keep abreast with each other in due course as I build up my career in Accountancy and Computer Science disciplines.

Assignment Expert
29.01.21, 09:49

Dear Vincent.K. Miyato, thank you for correcting us.

Vincent.K. Miyato
27.01.21, 23:43

Attention experts! I feel there was an oversight on this question. Average rate of value (mean)= 3.2 Poisson random variable (X) =7 What do you think? Please confirm and revert back. Regards

LATEST TUTORIALS
APPROVED BY CLIENTS