Question

A poll shows that 41% of voters in a city favor of a $0.01 tax increase. If 25 voters are selected at random, what is the probability that exactly 15 of them will vote in favor of

the initiative?
A. 0%
B. 1.2%
C. 2.6%
D. None of the choices are correct

Answer 1

2.6% (Approx)

Explanation:

Given:

Number of favor voter = 41% = 0.41

Random selected voters = 25

Exact favor voter = 15

Find:

Probability that exactly 15 will in favor.

Computation:

Number of non-favor voter = 1 - 0.41 = 0.59

Given question is a combination problem.

⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =

⇒ 0.02598130

= 2.6% (Approx)