Question

The Composite scores of students on the SAT college entrance examination in a recent year had a Normal Distribution with mean of 950 and a standard deviation of 150. 1. What is the probability that a student's score is less than 800?

Answer 1

To find the probability that a student's score is less than 800 on the SAT, calculate the z-score and use the standard normal distribution table. The probability is approximately 15.87%.

Step-by-step explanation:

To find the probability that a student's score is less than 800 on the SAT, we need to calculate the z-score and use the standard normal distribution table. First, we calculate the z-score using the formula: z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z = (800 - 950) / 150 = -1.

Using the standard normal distribution table or a calculator, we can find that the probability of getting a z-score less than -1 is approximately 0.1587.

Therefore, the probability that a student's score is less than 800 on the SAT is approximately 15.87%.