On average, a J&amp;T delivery rider can deliver 10 packages to their respective owners in one hour. Based on this data, what is the probability that the rider can deliver at most 4 packages in half an hour? Use Poisson distribution. a. 0.9329 b. 0.7185 c. 0.2331 d. 0.6715 e. 0.2851 f. 0.4405 g. 0.5595 h. 0.6751

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On average, a J&amp;amp;T delivery rider can deliver 10 packages to their respective owners in one hour. Based on this data, what is the probability that the rider can deliver at most 4 packages in half an hour? Use Poisson distribution.  a. 0.9329  b. 0.7185  c. 0.2331  d. 0.6715  e. 0.2851  f. 0.4405  g. 0.5595  h. 0.6751

Edward Belanger · Accepted Answer

Step 1  Given data,  Rider can deliver 10 packages in 1 hour  λ=10per hour  For 30 mins λ=102=5  P(X≤4)=?  Step 2  ByPoisson distribution  P(X=x)=e−λ×λxx!  P(X≤4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)  P(X=0)=e−5×500!=0.0067  P(X=1)=e−5×511!=0.0337  P(X=2)=e−5×522!=0.0842  P(X=3)=e−5×533!=0.1404  P(X=4)=e−5×544!=0.1755  P(X≤4=0.4405)  Option F is correct

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