Find the indicated z-score. Be sure to draw a standard normal curve that depicts the solution. And show your complete answer using the Probability/Inequality notation

a) Find the z-score such that the area under the standard normal curve to its right is 0.05

b) Find the z-score such that the area under the standard normal curve to its left is 0.35

c) Find the z-scores that separate the middle 90% of the distribution from the area in the tails of the standard normal distribution.

2. Find the value of the critical value z* when the middle percentage is:

a) 99%

b) 96%