Suppose the height of first-graders has a Normal distribution with an average of 102 cm and a standard deviation of 10 cm. Use the Z-table or Excel to answer the following questions.

a) Find the probability that a randomly selected first-grader is shorter than 120 cm. [2]

b) Find the probability that a randomly selected first-grader is taller than 90 cm. [2]

c) Find the probability that a randomly selected first-grader is between the height of 85 cm and 130 cm? [2]

d) Suppose a randomly selected first-grader is at "the first quartile". Find her height. [2]