A random sample of 150 high school students was selected to determine the percentage that played on a sports team based on CDC data that 57% of all high school students play sports. The probability of a student in the sample playing sports is 0.57. The probability that exactly 85 students in the sample played sports is 0.0663 with a mean of 85.5 and standard deviation of 8.74.
According to the Centers for Disease Control and Preventions 2019 .pdf
1. 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.)