SOLUTION: In big city the average number of rats per quarter block is 6. Assuming that the occurrence of number of rats follows passion distribution. Find out the probability that in randoml

Question 1172258: In big city the average number of rats per quarter block is 6. Assuming that the occurrence of number of rats follows passion distribution. Find out the probability that in randomly selected quarter block.
a)There are exactly 6 rats.
b)There are 6 to 8 rats
c)There are more than 6 rats
d) There are less than 6 rats
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is "Poisson"
a. This is e^(-6)*6^6/6!=0.1606
b. Find p(7) and p(8) and add to the above to get 0.4016
Can do by formula above or 2nd VARSpoissonpdf(6,7)ENTER for p(7) with parameter 6
c. Can use 1-2nd VARS poissoncdf(6,6)=0.3937. This looks at the left side from 0 to 6, because 6 is not part of the required answer.
d. Can do this with 2nd VARS poissoncdf(6,5) and get 0.4457. Also, can recognize that a, c, and e include the entire distribution, and d is 1-p((a))-p((c))

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