. In a recent year, grade 8 Washington state public school students taking a mathematics assessment test had a mean scor

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. In a recent year, grade 8 Washington state public school
students taking a mathematics assessment test had a mean score of
281 with a standard deviation of 34.4. Assume test scores are
normally distributed.
(i)(1 pts.) What is the probability that a randomly selected
student, X, had a score less than 300?
(ii)(2 pts.) What score is exceeded by the top 15% of students?
(This would represent the 85th percentile)