Find the z score such that the interval within z standard deviations of the mean (between z and z) for a normal distribution contains a 50 of the probability b 90 of the probability c Sketch the two cases on a single graph

Question: Find the z -score such that the interval within z standard deviations of the mean (between - z and + z) for a

Find the z -score such that the interval within z standard deviations of the mean (between μ - zσ and μ + zσ) for a normal distribution contains
a. 50% of the probability.
b. 90% of the probability.
c. Sketch the two cases on a single graph.

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