Answer:
D) 0.5764.
Step-by-step explanation:
According to a standard z-score table, a z-score of -0.5 corresponds to the 0.3085-th percentile of a standard normal distribution.
Furthermore, a z-score of 1.2 corresponds to the 0.8849-th percentile of a standard normal distribution.
Therefore, the area under the standard Normal curve corresponding to -0.5 < Z < 1.2 is:
[tex]A = 0.8849-0.3085\\A=0.5764[/tex]
The answer is option D) 0.5764.