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 fifth grade students in a large school district who read below grade level in samples of 100 students is normal with a mean of 0.30 and a standard deviation of 0.04. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion who read below grade level in the sample is 0.4. What is the probability that a second sample would be selected with a proportion less than 0.4 ?

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