Suppose that a large corporation surveys all of their employees, and finds that 24% of them carry secondary health insurance. A representative from GoldStar Care visits 100 employees, in hopes of selling about 76% of them secondary health insurance. Find the probability that at least 27 of them already carry secondary health insurance. In addition, state the mean and the standard deviation of the distribution of sample proportions with which you are working.
Round all answers to four decimal places.