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answer all the questions 1. A random sample of 250 students entering the university included 120 females, of whom 20 belonged to a minority group,

answer all the questions

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1. A random sample of 250 students entering the university included 120 females, of whom 20 belonged to a minority group, 65 had averages over 80%, and 10 fit both categories. Among the 250 students, a total of 105 people in the sample had averages over 80%, and a total of 40 belonged to the minority group. Fifteen males in the minority group had averages over 80%. i) How many of those not in the minority group had averages over 80%? ii) Given a person was a male from the minority group, what is the probability he had an average over 80%? iii) What is the probability that a person selected at random was male, did not come from the minority group, and had an average less than 80%

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