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Homework answers / question archive / David Mashley teaches two undergraduate statisticscourses at Kansas College

David Mashley teaches two undergraduate statisticscourses at Kansas College

Statistics

David Mashley teaches two undergraduate statisticscourses at Kansas College. The class for Statistics 201consists of 7 sophomores and 3 juniors. The more advancedcourse, Statistics 301, has 2 sophomores and8 juniors enrolled. As an example of a business samplingtechnique, Professor Mashley randomly selects,from the stack of Statistics 201 registration cards, theclass card of one student and then places that cardback in the stack. If that student was a sophomore,Mashley draws another card from the Statistics 201stack; if not, he randomly draws a card from the Statistics301 group. Are these two draws independentevents? What is the probability of(a) a junior’s name on the first draw?(b) a junior’s name on the second draw, given that asophomore’s name was drawn first?(c) a junior’s name on the second draw, given that ajunior’s name was drawn first?(d) a sophomore’s name on both draws?(e) a junior’s name on both draws?(f) one sophomore’s name and one junior’s name onthe two draws, regardless of order drawn?SOLVE30

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