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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Dhruv2301 55 years 2 Answers 1561 views Great Grand Master 0

Answers ( 2 )

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    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

  2. onika
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    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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