Suppose 10 coins are flipped, and the proportion of heads is recorded. This process is repeated many, many times to develop a distribution of these sample proportions. What is the predicted mean and standard deviation for this distribution of sample proportions?

A. Mean = 5.000, SD = 0.158
B. Mean = 5.000, SD = 1.581
C. Mean = 0.500, SD = 0.158
D. Mean = 0.500, SD = 1.581