In 2010, the average overall SAT score (Critical Reading, Math, and Writing) for

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 40% of all high school graduates took this test, and that 600 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. This is a binomial random variable. This is not a binomial random variable.     n = p =

(b) The scores of the 600 students on the SAT. This is a binomial random variable. This is not a binomial random variable.     n = p =

(c) The number of students who scored above average on the SAT. This is a binomial random variable. This is not a binomial random variable.     n = p =

(d) The amount of time it took the students to complete the SAT. This is a binomial random variable. This is not a binomial random variable.     n = p =

Explanation / Answer

(a) The number of students who took the SAT.

p = 0.40 and n = 600

This is a binomial random variable.

b) The scores of the 600 students on the SAT.

This is not a binomial random variable. Impossible

c) The number of students who scored above average on the SAT. This is a binomial random variable.

Impossible

d) The amount of time it took the students to complete the SAT. This is not a binomial random variable.

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