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University admissions test scores are distributed as N2 (173,30.2) random variable.
(a) In order to be certain that she will be admitted Jane needs to score better than 75% of the candidates that take the test. Write the R command that calculates how many points Jane should have on the test (i.e., at least that many) to be certain she will be admitted.
(b) Write the R command that calculates the probability that Jane will score at most 230 points on the test.
(c) Write the R command that calculates the probability that Jane will score at least 210 points on the test.
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