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.

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Anmol Sandal · Answer 1 · 2021-02-07T15:17:06+0000

Answer:

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

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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.

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