Question

sat scores are designed so that they are normally distributed as shown below.
what percentage of students score 200 or above?
a. 99.9%
b. 100.2%
c. 0%
d. 100%

Explanation:

Step1: Analyze normal distribution tails

In a normal distribution, the total area under the curve is 100%. The score 200 is the far left tail of the given SAT distribution, and the area to the left of 200 is effectively 0% (negligible, as the curve approaches but never actually reaches 0 at the tails in theory, but for practical SAT scoring, 200 is the minimum possible score).

Step2: Calculate percentage for ≥200

Subtract the area below 200 from 100%.
$\text{Percentage} = 100\% - 0\% = 100\%$

Answer:

D. 100%