For a standardized normal distribution determine a value say

For a standardized normal distribution, determine a value, say z0, so that P(-z0 z z0) = 0.95

Solution

Getting the outward areas of the two extreme tails,          
          
alpha/2 = (1-middle area)/2 =    0.025      
          
Thus, the z values bounding these tails, using table/technology,          
          
z1 = lower z value =    -1.959963985      
z2 = upper z value =    1.959963985      
          
Thus,

z0 = 1.959963985 [ANSWER]