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According to the Centers for Disease Control and Preventions 2019 .pdf

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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.

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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.)

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