The Wechsler Intelligence Scale for Children is approximately normally distributed, with ???? = 100 and ???? = 15.

a. What is the probability that a randomly selected test taker will score below 75?
b. What is the proportion of children who will score above 130?
c. What intelligence score will place a child in the 20th percentile? Round answer to nearest whole number.
d. What intelligence score will place a child in the 96th percentile? Round answer to nearest whole number.