Answer:
34.13%
Step-by-step explanation:
Given the mean score is 450 and the standard deviation is 120.
-The probability of scoring between 450 and 570 can be calculated as below:
[tex]P(450<X<570)=P(\frac{X_a-\mu}{\sigma}<z<\frac{X_b-\mu}{\sigma})\\\\\\=P(\frac{450-450}{120}<z<\frac{570-450}{120})\\\\\\=P(0<z<1)\\\\=0.84134-0.50000\\\\=0.3413\\\\=34.13\%[/tex]
Hence, 34.13% of the scores lies between 450 and 570
