R. h bruskin associates market research found that 40% of americans do not think having a college education is important to succeed in the business world. if a random sample of 5 americans is selected, find these probabilities: . a. exactly two people will agree w/ that statement. b. at most 3 people will agree w/ that statement. c. at least 2 people will agree. d. fewer than 3 people will agree

a. Exactly two people will agree 
n = 5, p = 0.40
P(2 people) = 5!/((5–2)!2!)•(0.4)^2(1– 0.4)^(5–2)
                    = [5!/(3!2!)]•(0.4)^2(0.6)^3
                    = 0.346
b. At most three people will agree.
P(X) = 0.078 + 0.259 + 0.346 + 0.230
        = 0.913

c. At least two people will agree.
X= 2, 3, 4,
or
5 people P(X) = 0.346 + 0.230 + 0.077 + 0.01
                       = 0.663

d. Fewer than three people will agree.
X= 0, 1, or 2
people P(X) = 0.078 + 0.259 + 0.346
                    = 0.683

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