Percentage of students from out of state = 30%
If 8 students are selected, what is the probability that 5 are from out of state
The probability formula is given by:
[tex]\text{ P(E)=}\frac{\text{ n(Required outcome)}}{\text{ n(Total outcome)}}[/tex]Hence,
[tex]\begin{gathered} P(5\text{ are from out of state, 30\%)=}\frac{5}{8}\text{ }\times30\text{ \%} \\ =\frac{5}{8}\times\frac{30}{100} \\ =\frac{3}{16} \end{gathered}[/tex]Therefore, the probability that 5 of them are out of state is 3/16