How much area under the normal curve lies between the mean a

How much area under the normal curve lies between the mean and a z-score of 1.30?

Solution

Note that the mean has a z score of 0.

z1 = lower z score = mean =   0      
z2 = upper z score =     1.3      
          
Using table/technology, the left tailed areas between these z scores is          
          
P(z < z1) =    0.5      
P(z < z2) =    0.903199515      
          
Thus, the area between them, by subtracting these areas, is          
          
P(z1 < z < z2) =    0.403199515   [ANSWER]