Thank you so much! Please show work so I can understand : )

Denition: Zc is the upper (positive) z-score that bounds c in the middle of the distribution. Example: 2.95 is the upper (positive) z-score the bounds .95 of the distribution in the middle. From our Empirical Rule, we know this is approximately 2 standard deviations, or z-score = 2. The exact z-score is lnvnorm(.975, 0, 1) = 1.96. Be sure to understand (by drawing out, shading, and labeling a normal distribution) why I used .975 in this calculation. Understanding this concept will be crucial to your success moving forward. Another thing to always be thinking about is that your invnorm program can only take inputs for area (percentage) that is to the left of the desired z-score. 1. Find Zc when c = .68. In other words, find 2.53. Be sure to draw, label, and shade the distribution. Complete the statements: a) The z-score for 253 has % of the distribution to the left of it. b) The z-score for 2.68 has % of the distribution to the right of it