Chapter 6, Problem 23SE

Extreme Positive $z$ -Scores For each question, find the area to the right of the given $z$ -score in a standard Normal distribution. In this question, round your answers to the nearest 0.000. Include an appropriately labeled sketch of the $N\left(0,1\right)$ curve.

a. $z=4.00$

b. $z=10.00$ (Hint: Should this tail proportion be larger or smaller than the answer to part a? Draw a picture and think about it.)

c. $z=50.00$

d. If you had the exact probability for these tail proportions, which would be the largest and which would be the smallest?

e. Which is equal to the area in part b: the area below (to the left of) $z=-10.00$ or the area above (to the right of) $z=-10.00$ ?