SOLUTION: 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 area between 0 and z is 0.4750. c) The area to th

Instead of doing your problem for you, I've drawn the normal
curve graphs, and shaded the area mentioned.  All you have to
do is look on the z-axis of each graph and find which value on
your list of answers is closest to the z-score along that z-axis 
where the shading stops or starts, depending on whether the area 
is to the left or to the right. Here are the shaded graphs:

a) The 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 right 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