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March 30, 2017

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In this summer school class there are 28 male students and 15 female students. An experiment is done that consists of selecting a student at random, and recording their gender. This is done 4 times WITH REPLACEMENT.

1) Fill in the following probability table for the number of female students drawn?

X P(x)
0
1
2
3
4

I have tried to use the binomial probability formula (* this means multiplication) P(x)=n!/(n-x)!x!*p^x*q^n-x but i don't know what the probability variable is and i'm tired of going nowhere with this. Thank you so much.

  • statistics - ,

    It is just like picking 4 people without replacement.

    P(0) = 28/43 * 27/42 * 26/41 * 25/40 = ?

    P(1) = 15/43 * 28/42 * 27/41 * 26/40 = ?

    Use a similar process for the remaining two probabilities.

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