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

34.13%

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((X_a-\mu)/(\sigma)<z<(X_b-\mu)/(\sigma))\\\\\\=P((450-450)/(120)<z<(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