The standard normal table to find the zscore that correspond

The standard normal table to find the z-score that corresponds to the cumulative area 0.0038. If the area is not in the table, use the entry closest to the area. If the is halfway between two entries, use the z-score halfway between the corresponding z-scores.

Solution

We get the z score from the given left tailed area. As      
      
Left tailed area =    0.0038  
      
Then, using table or technology,      
      
z =    -2.670 [ANSWER]