How To Find The Area To The Right Of Z

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Question 1019931: Given that z is a standard normal random variable, find z for each situation.
a) The area to the left of z is 0.9750.
b) The surface area betwixt 0 and z is 0.4750.
c) The area to the left of z is 0.7291.
d) The expanse to the right of z is 0.1314.
due east) The area to the left of z is 0.6700.
f) The area to the right of z is 0.3300.
Answers:
a) z = 1.96
b) z = i.96
c) z = 0.61
d) z = ane.12
e) z = 0.44
f) z = 0.44
Answer by Edwin McCravy(19074) (Show Source):
You can put this solution on YOUR website!
Given that z is a standard normal random variable,
find z for each situation.

Instead of doing your trouble for you, I've fatigued the normal bend graphs, and shaded the expanse mentioned. All you accept to do is look on the z-axis of each graph and detect which value on your listing of answers is closest to the z-score forth that z-axis where the shading stops or starts, depending on whether the area is to the left or to the correct. Here are the shaded graphs: a) The surface area to the left of z is 0.9750. b) The area between 0 and z is 0.4750. c) The area to the left of z is 0.7291. d) The area to the correct of z is 0.1314. e) The area to the left of z is 0.6700. f) The area to the right of z is 0.3300. Answers: a) z = 1.96 b) z = 1.96 c) z = 0.61 d) z = 1.12 e) z = 0.44 f) z = 0.44 Edwin