For a normal distribution,
a. Find the z -score for which a total probability of 0.02 falls more than z standard deviations (in either direction) from the mean, that is, below μ - zσ or above μ + zσ.
b. For this z, explain why the probability more than z standard deviations above the mean equals 0.01.
c. Explain why μ + 2.33σ is the 99th percentile.