# Week 2 Connect Problem Set - 1 The director of admissions...

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1.)The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.AdmissionsProbability1,030 0.3 1,440 0.2 1,600 0.5 1.What is the expected number of admissions for the fall semester?
2.Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
2.)The Internal Revenue Service is studying the category of charitable contributions. A sample of 24 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than \$100,000. Of these 24 returns, 8 had charitable contributions of more than \$1,000. Suppose 7 of thesereturns are selected for a comprehensive audit.aYou should use the hypergeometric distribution is appropriate. Becauseb.What is the probability exactly one of the seven audited had a charitable deduction of more than \$1,000? (Round your answer to 4 decimal places.)
c.What is the probability at least one of the audited returns had a charitable contribution of more than \$1,000? (Round your answer to 4 decimal places.)