# Question: For a normal distribution a Show that a total probability of

For a normal distribution,

a. Show that a total probability of 0.01 falls more than z = 2.58 standard deviations from the mean.

b. Find the z -score for which the two-tail probability that falls more than that many standard deviations from the mean in either direction equals (a) 0.05, (b) 0.10. Sketch the two cases on a single graph.

a. Show that a total probability of 0.01 falls more than z = 2.58 standard deviations from the mean.

b. Find the z -score for which the two-tail probability that falls more than that many standard deviations from the mean in either direction equals (a) 0.05, (b) 0.10. Sketch the two cases on a single graph.

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