Perfect SAT score. In Exercise 3.26 (p. 126), you learned that 5 in every 10,000 students who take the SAT score a perfect 1,600. Consider a random sample of three students who take the SAT. Let x equal the number who score a perfect 1,600.
a. Find p(x) for x = 0, 1, 2, 3.
b. Graph p(x).
c. Find P(x ≤ 1).
Exercise 3.26
Perfect SAT scores. The maximum score possible on the SAT is 1600. According to the test developers, the chance that a student scores a perfect 1600 on the SAT is 5 in 10,000.
a. Find the probability that a randomly selected student scores a 1600 on the SAT.
b. In a recent year, 545 students scored a perfect 1600 on the SAT. How is this possible, given the probability calculated in part a?
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