According to the Centers for Disease Control and Prevention's 2019 High School Youth Risk Behavior Survey Data, 57% of high school students played on at least one school or community sports team in the past year. A random sample of 150 high school students is selected. Round probabilities to four decimal places. a) What is the sample size? n= b) What is the probability of success for this problem (written as a decimal)? p= c) Find the probability exactly 85 of high school students played on at least one sports team P(X=85)= (Round to 4 decimal places.) Would this be unusual? d) Calculate the mean. = e) Calculate the standard deviation. = (Round to 2 decimal places.).