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(0, 1) 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?