Exhibit 5-9
Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected.
-Refer to Exhibit 5-9. The probability that the sample contains 2 female voters is
A)0.0778
B)0.7780
C)0.5000
D)0.3456

Question

Quizplus · Accepted Answer

The probability of selecting a female voter from the population is 0.4, and the probability of selecting a male voter is 0.6. The probability of selecting exactly 2 female voters in a sample of 5 can be calculated using the binomial probability formula:
P(2 female voters) = (5 choose 2) * (0.4)^2 * (0.6)^3
= 10 * 0.16 * 0.216
= 0.3456
Therefore, the answer is choice D.

Exhibit 5-9 Forty Percent of All Registered Voters in a National Election