Question

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

Answer 1

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

Answer 2

The probabilities for the people should be

a. 0.346.

b. 0.913.

c. 0.663.

d. 0.683.

Calculation of the probabilities:

Since 40% of Americans do not think having a college education

So,

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

learn more about probabilities here: https://brainly.com/question/24710931