Approximately of students at a local high school participate in after-school sports all four years of high school. A group of seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of
high school.
a. In words, define the random variable .
b. List the values that may take on.
c. Give the distribution of
d. How many seniors are expected to have participated in after-school sports all four years of high school?
e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all
four years of high school.
f. Based on numerical values, is it more likely that four or that five of the seniors participated in after-school sports
all four years of high school? Justify your answer numerically.