Below is the probability distribution for the age (in years) of a randomly chosen student at a certain public high school. X. 13 14 15 16 17 18 P(X) 0.04 0.22 0.23 0.29 0.14 0.08 a) What is the value of P(18)? Write out what P(18) represents in the context of the problem. No explanation is needed for this part. b) Find the probability that a randomly selected student is at most 15 years old. Show work and briefly explain how you got your answer, c) Find P(X > 16). Show work and briefly explain how you got your answer. d) Compute and interpret the mean, #y, in the context of this problem. Include the correct units with your answer. No work needs to be shown for this part