2. The length of a #2 pencil at Ocean View Elementary varies uniformly between 6 cm and 19 cm. A teacher at Ocean View Elementary selects a #2 pencil at random and is interested in its length. a) Define the random variable of interest, X. b) State the distribution of X. c) Sketch the density curve, with appropriate labels. d) Calculate the probability that it is 12 cm. e) Calculate the probability that it is more than 10 cm