We are using a chart on standard normal (z) distribution: cumulative area from the LEFT showing Negative x Scores on one side and Positive (z) scores on the other.
b. P(-1.62 < z < 2.81).
c. The z-score that would create a right tail of 31%.
d. The z-score that would create a left tail of 6.5%.© BrainMass Inc. brainmass.com June 3, 2020, 9:15 pm ad1c9bdddf
This solution gives the step by step method for computing probabilities based on Z score (see attachment for figures).