Approximately 20 of high school students at a particular hig

Approximately 20% of high school students at a particular high school drop out of school before graduation. Choose ten students entering that high school at random. Find the probability that

            a) No more than two drop out

            b) At least six graduate

Consider first, what kind of data do you have? (drop out or not drop out is ____ data) What is being asked for? (\"Find the probability that\" ) Consult the table I have given you and decide on what kind of formula you want to use before you do any computation.

Solution

Here each student is independent of other student and there are two outcomes drop out or not drop out.

Hence X no of students drop out of school before graduation is binomial with p = 0.20, n = 10 here

a) Prob for No more than two drop out

= P(X<=2)

=0.3828

b) At least six graduate

= P(X<4)

= 0.6496