The probability that a binomial experiment of n trials and p, the probability of success, produces an outcome, x is given by:
[tex]P(x)={ ^nC_r}p^x(1-p)^{n-x}[/tex]
Given that approximately 10.3% of american high school students drop out of school before graduation, thus p = 0.103.
If we choose 10 students (i.e. n = 10)
The probability that all 10 stay in school and graduate means the probability that none of the 10 students dropped out[tex]P(0)={ ^{10}C_0}(0.103)^0(1-0.103)^{10} \\ \\ 1\times1\times(0.897)^{10}=0.337[/tex] is given by
