Problem 3 (15 pts). The height of a species of plant grown from seed in the laboratory is 'normally' distributed with a mean of 135 cm and a standard deviation of 12cm. Using this information, answer the following questions. (a) What proportion of these plants will be taller than 150 cm? (b) What is the probability that a randomly sampled plant will be taller than 120 cm. The seedings are thinned such that all the plants shorter than 120 cm are now removed but all the others remain. (c) What is the probability that one of the remaining plants, selected at random, will be taller than 150 cm