# If 1 SAT score is randomly selceted, find the probablitity that it is less than 1500. Assume that SAT scores are normally distributed with mean of 1518 and standard deviation of 325.

The SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. To determine the probability that it is less than 1500, find the z-score of 1500

The z-score for a value x is given by `(x - mu)/sigma`

Here `mu = 1518` and `sigma...

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

The SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. To determine the probability that it is less than 1500, find the z-score of 1500

The z-score for a value x is given by `(x - mu)/sigma`

Here `mu = 1518` and `sigma = 325` .

The z-score is `(1500 - 1518)/325 = -0.0553`

Use a normal distribution table to find the corresponding area for this z-score. The value is 0.4801

There is 48.01% probability that the SAT score is less than 1500

Approved by eNotes Editorial Team