Solve the Problem. -Suppose You Know That the Distribution of Sample Proportions of Sample

Multiple Choice

Solve the problem.
-Suppose you know that the distribution of sample proportions of the residents of one town over 70 years old in samples of 120 residents is normal with a mean of 0.12 and a standard deviation of 0.04. You select a sample of 120 residents and find that the proportion of residents over 70 is 0.02. What is the probability that a second sample would be selected with a proportion greater than 0.02?

A) 0.0062
B) 0.0047
C) 0.9938
D) 0.9953