Question
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.
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.
Answers
PsyDAG
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.
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.