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.

Question 1 of 4 Which of the following is true regarding the random variables X and Y?

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

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

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

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

The remaining questions refer to the following information: Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 10 points.

Question 2 of 4 Suppose that the top 4% of the exams will be given an A+. In order to be given an A+, an exam must earn at least what score? 65 , 68 , 85 , 92.5

Question 3 of 4 What is the exam score for an exam whose z-score is 1.25? 60 , 70 , .1056 , 87.5 , .8944

Question 4 of 4 The instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores? 0.6 , -0.6 , .7257 , .2743