Step 1: If we toss a fair coin 200 times, the number of heads is a random variable that is binomial. Find the mean and the standard deviation of the sample proportion of heads. Choose the correct answer; (is the mean of the sample proportion and is the standard deviation of the sample proportion):

Step 2: If we toss a fair coin 200 times, the number of heads is a random variable that is binomial. Determine whether the following statement is True or False:

The mean and the standard deviation of the sample proportion are identical to the mean and the standard deviation of the sample count