Mckinsey Interview Questions | Probability
Question
Consider the number of people that show up at a bus station is Poisson with mean 2.5/h. What is the probability that at most three people show up in a four-hour period?
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Answers ( 2 )
Mean = 2.5×4 = 10
Using Poisson’s distribution formula for k = 0,1,2,3 :
=> P(0) + P(1) + P(2) +P(3)
= 0.01037
atmost 3 people means X<=3
P(X<=3)=P(X=0)+P(X=1)+P(X=2)+P(X=3)
using poisson probability we get
P(X<=3)=0.75
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