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Candidates are applying for an elite college. From prior statistics we know that white students have an acceptance rate of 24% while Asian students have

Candidates are applying for an elite college. From prior statistics we know that white students have an acceptance rate of 24% while Asian students have an acceptance rate of only 17%.

A random sample of 100 White students and 100 Asian students were selected.

Let X be the number of White applicants (out of the 100) who are accepted.

Let Y be the number of Asian applicants (out of the 100) who are accepted.

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Question 1

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Which of the following is true regarding the random variables X and Y?

Both X and Y can be well-approximated by normal random variables.

Only X can be well-approximated by a normal random variable.

Only Y can be well-approximated by a normal random variable.

Neither X nor Y can be well-approximated by a normal random variable.

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