In 2010, the average overall SAT score (Critical Reading, Math, and Writing) for
ID: 3150335 • Letter: I
Question
In 2010, the average overall SAT score (Critical Reading, Math, and Writing) for college-bound students in the United States was 1509 out of 2400. Suppose that 30% of all high school graduates took this test, and that 300 high school graduates are randomly selected from throughout the United States. Which of the following random variables has an approximate binomial distribution? If possible, give the values for n and p. (If not possible, enter IMPOSSIBLE.)
(a) The number of students who took the SAT.
(b) The scores of the 300 students on the SAT.
(c) The number of students who scored above average on the SAT.
(d) The amount of time it took the students to complete the SAT.
Explanation / Answer
a)
The number of students who took the SAT.
n=300
p=0.30
b)
The scores of the 300 students on the SAT.
n=2400
p=1509/2400 =0063 =63%
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