Question: The maximum score possible on the SAT exam is 1600. According to the test developers, the probability that a student scores a perfect 1600

The maximum score possible on the SAT exam is 1600. According to the test developers, the probability that a student scores a

The maximum score possible on the SAT exam is 1600. According to the test developers, the probability that a student scores a perfect 1600 on the SAT is 0.0005. a. In a recent year, 545 students scored a perfect 1600 on the SAT. How is this possible, given that the probability for a student obtains a perfect score is only 0.0005? b. If a group of three students who take the SAT is selected and let X be the number of students who score a perfect 1600 in the group. Find P(X=x) for x = 0, 1, 2, 3. What is the probability that no more than one student score a perfect 1600 among the three students? c. d. Find the mean and the standard deviation of X. e. What is your interpretation of the mean value of X found in part (d)?

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