I am having trouble understanding where the variables plug into theformulas. Correct me if I am wrong but, I think they mean for number 1 will be 80 for the 80% of the kids, because 100 times 0.8 is 80. Next the standard deviation will be the square root of 80 times (1 - 80) divided by 100. from there I believe to find the probabilities are found using the bell curves putting 80 in the center then adding and subtracting the standard deviation on each side to find the variables to figure out what the percentage chance that the number of students designated is.

Central Limit Theorem Activity - Proportions
 
 -According to survey data, 80% of the audience for the opening weekend of the 2017 movie Lego Batman were kids. A certain showing of the movie has 100 people.
Calculate the proportion mean and standard deviation for the proportion of kids at the movie.
Mean:                                                            Standard Deviation:  
 What is the probability that at least 85 of them are kids?
 What is the probability that less than 50 of them are kids?
 What is the probability that at least 70 of them are kids?
 
2.      Law students must take and pass the bar exam in order to be licensed to practice law in Michigan. In 2016, 1724 people took the Michigan bar exam and 1069 passed it.
Based on the 2013 numbers, what is the population proportion p of passing the Michigan bar exam?
Kaplan offers a class designed to prep students for the Michigan bar exam. In a given class of 32 students, 20 passed the bar exam.
Find the probability of achieving this result by random chance. In other words, the probability that 20 out of a random sample of 32 would pass the bar exam.
Based on this probability, can Kaplan claim that their bar exam prep class causes students to have higher pass rates on the Michigan bar exam? Why or why not?