Write the last two digits of your 1000 student ID number with a decimal point in

Question

Write the last two digits of your 1000 student ID number with a decimal point in between these two digits: (4.9) Assume that this numbe is the average number of squirrles you come across when you walk from the Life Science building to the Engineering research building. Tomorrow you plan to walk from the Life Science to the engineering research building and you wonder what is the probability of observing at most three squirrels. Assume that squirrels are randomly distributed and that each squirrel is an independent observation.

Explanation / Answer

We assume that this is a type of poisson's distribution with mean 4.9

Thus,

P ( X <= 3)

= P ( X = 0) + P (X = 1) + P ( X =2) + P ( X = 3)

= 0.2793

Hope this helps.

Note : A poisson distribution calculator can be found here:

http://stattrek.com/online-calculator/poisson.aspx

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