math
posted by robin .
R. H. Bruskin Associates Market Research found that 30% of Americans do not think that having a
college education is important to succeed in the business world. If a random sample of five Americans
is s selected, find these probabilities.
(a) Exactly two people will agree with that statement.
(b) At most three people will agree with that statement.
(c) At least two people will agree with that statement.
(d) Fewer than three people agree with that statement

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
a) .3^2 * .7^3 = ?
b) Same as 1, 2 or 3 people agreeing.
for one: .3 * .7^4 = ?
for two: see above
for three: .3^3 * .7^2 = ?
Eitheror probabilities are found by adding the individual probabilities.
c) Same as 2, 3, 4, or 5 agreeing.
d) Same as 1 or 2 agreeing.