Question

please help!!!

SAT verbal scores are normally distributed with a mean of 450 and a standard deviation of 120. Determine what percent of the scores lie between 450 and 570.

Answer 1

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:

$P(450<X<570)=P(\frac{X_a-\mu}{\sigma}<z<\frac{X_b-\mu}{\sigma})\\\\\\=P(\frac{450-450}{120}<z<\frac{570-450}{120})\\\\\\=P(0<z<1)\\\\=0.84134-0.50000\\\\=0.3413\\\\=34.13\%$

Hence, 34.13% of the scores lies between 450 and 570