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