# Question

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.

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.

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