4. The Department of Parks and Recreation found that twenty-three percent of public parks have a drinking fountain. A Parks and Rec employee randomly selects eight public parks and is interested in the number that have a drinking fountain. a) Define the random variable of interest, X. b) State the distribution of X. Show your work by checking the relevant criteria. c) What is the probability that exactly 3 public parks have a drinking fountain? d) What is the probability that at least 2 public parks have a drinking fountain? e) What is the probability that 1 or 2 public parks have a drinking fountain? f) Calculate the standard deviation of X