Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $31,000. Suppose you take a simple random sample of 35 graduates. Round all answers to four decimal places if necessary. Rectangular S a. What is the distribution of X? X - N( b. What is the distribution of I? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $172,940 and $178,260.

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