According to hypothetical information, 18% of all Americans have hazel colored eyes. A SRS of 25,000 Americans are surveyed and asked about their eye color (assume each of the Americans in the sample has an 18% chance of having hazel colored eyes).
a) Determine the mean and standard deviation of this sample of Americans that have hazel colored eyes.
Mean =__________
Standard Deviation=__________
b) What is the approximate probability that at least 4600 of the 25,000 Americans surveyed have hazel colored eyes? ______________
c) What is the approximate probability that between 4450 and 4570 inclusive of the 25,000 Americans surveyed have hazel colored eyes? _______________