According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never
Married?
A)0.167
B)1.002
C)0.013
D)0.161

Question

Quizplus · Accepted Answer

The probability that two or fewer were never married is the sum of the probabilities that 0, 1, or 2 were never married. The probability that 0 were never married is (0.6)^10 = 0.000977. The probability that 1 was never married is 10 * (0.4)^1 * (0.6)^9 = 0.01296. The probability that 2 were never married is 45 * (0.4)^2 * (0.6)^8 = 0.07558. The sum of these probabilities is 0.000977 + 0.01296 + 0.07558 = 0.089517, which is approximately 0.09.

According to Government Data, the Probability That a Woman Between