(4) A standardized reading exam has mean score 90 with standard deviation 15. The distribution of scores is normal. Find the percentage of test takers who got: (a) over 90 (b) between 75 and 105 (c) under 114 (d) under 25 (e) find the 30th percentile (5) The mean income for NYC teachers is u = $56,000. Given o = $12,000. A sample of 36 teachers is chosen. Find the probability that:. (a) The sample mean x > $54,000 (b) the sampling error is less than $4,000 {find: Pr(52,000