In: Statistics and Probability
. According to a 2018 report from the Center on Education and the Workforce at Georgetown University, 70 percent of full-time college students are working. Suppose 15 students full-time college students are randomly selected and asked whether they are working. (a) (3 points) Explain (as best as you can) why this is a binomial experiment.
(b) (1 points) Find and interpret the probability that exactly 10 students say they work. (c) (1 points) Find and interpret the probability that at least 10 students say they work. (d) (2 points) Find the expected value and the standard deviation of this binomial random variable. (e) (2 points) Which event is more likely, A) at most 11 students work or B) 14 or more students work ? How do you know?