thanks please write it clearly!

Really appreciate it!!!

1. Approximately 82% of Americans live in cities. Using that information, suppose a random sample of 120 Americans is chosen. a. Show that each of the necessary conditions that allow us to model with a Normal model (Randomization Condition, 10% Condition, Success/Failure Condition) are satisfied for our sample. Briefly explain/show how each condition is satisfied. b. Give the mean and standard deviation of the Normal model that approximates the sampling distribution of the sample proportion living in cities for our sample of size 120. (Show your calculations, if applicable, and round your standard deviation to 3 digits after the decimal point.) C. Sketch and clearly label the Normal model for the sampling distribution, based on the 68-95-99.7 Rule. Be sure to label your axis with what your variable represents. d. According to our Normal model, what is the probability that the 120-person sample proportion of those living in cities would be between 80% and 85%? (To show your work: Write down which calculator you are using and what values you are entering into the calculator.)