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Answer :
Final answer:
Yes, Elaine will be admitted to the university.
Explanation:
To determine if Elaine will be admitted to the university, we need to calculate the z-score for her score of 487. The z-score formula is given by:
z = (x - μ) / σ
where x is the individual score, μ is the mean, and σ is the standard deviation.
Substituting the given values, we have:
z = (487 - 450) / 50 = 0.74
Now, we need to find the probability associated with this z-score. We can use a standard normal distribution table or a calculator to find this probability. The probability of scoring a 487 on the exam is approximately 0.778.
Since the admission criteria states that students who score in the top 35% will be offered admission, Elaine's score falls within this range. Therefore, she will be admitted to the university.
Learn more about determining admission based on exam scores here:
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