According to AC Lens, green eye color is one of the rarest with only 2% of the world's population having that eye color. A random sample of 1000 people from around the world are selected. Letp^be the proportion of the sample which has green eyes.

1. What is the mean of the sampling proportion?______
2. What is the standard deviation of the sampling proportion?______(Round to the nearest thousandth.)
3. Find the probability thatp^will be between 0.01 and 0.03.P(0.01
4. What is the rule of thumb for normalizing the sampling distribution of proportions? (np 10 and nq 10/ n > 30/ np 30 and nq 30/ n > 10)