Question

Three out of every four american adults under the age of 35 say they have eaten pizza for breakfast at some time in their life. if a random sample of 20 american adults under the age of 35 is selected, what is the probability that exactly 16 have eaten pizza for breakfast at some time in their life.

Answer 1

p = 3/4, the probability that those under the age of 35 ate pizza for breakfast.
Therefore,
q = 1 - p = 1/4, the probability of those who did not eat pizza for breakfast.
n = 20, the sample size

The probability that exactly 16 of the 20 selected have eaten pizza for breakfast is
P(16 of 20) = ₂₀C₁₆ p¹⁶ q⁴
= 4845*(3/4)¹⁶*(1/4)⁴
= 0.1897

Answer: 0.19 (or 19%)