SOLUTION: approximately 10% of American high school students drop out of school before graduation. Choose 10 students enetering high school at random. Fine the probability that none of the

Algebra ->  Probability-and-statistics -> SOLUTION: approximately 10% of American high school students drop out of school before graduation. Choose 10 students enetering high school at random. Fine the probability that none of the       Log On


   

Question 729561: approximately 10% of American high school students drop out of school before graduation. Choose 10 students enetering high school at random. Fine the probability that none of the students drop out.
Please help!!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For each student the probability of dropping out is 0.1 (10% as a decimal), and the probability of not dropping out is 1-0.1=0.9
Assuming that what happens to one student does not affect what happens to the others (independent events), the probability of all 10 staying in school until graduation is
0.9%2A0.9%2A0.9%2A0.9%2A0.9%2A0.9%2A0.9%2A0.9%2A0.9%2A0.9=0.9%5E10=0.35%28rounded%29
The probability that none of the 10 students drops out is 35%.