Gregg K. answered • 12/15/16

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#mathtutor AP Calculus & AP Statistics Teacher / College Teacher

This is a binomial setting therefore you can find c) and d) very easily

np = 4(.29) = 1.16 Expected Value On average we would find 1.16 foreign-born people from a group of 4 people if we keep picking groups of 4 over and over again

sqrt(np(1-p)) = sqrt(.8236) = .9075241044 Standard Deviation (the typical distance a value of f differs from 1.16

a) There is 4 ways to pick 1 out of 4 so we have 4(.29)(.71)^3 = .41517676 = 41.517676%

b) Easier to do P(F = 0) and subtract from 100%

There is only 1 way to get 0 so we have 1(.29)^0(.71)^4 =.25411681 Now subtract from 1 74.588319%

Gregg K.

12/15/16