MATH 360 Final: STAT 360 Amherst F11M360Final
15 Feb 2019
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December 21, 2011 (2:00 pm - 5:00 pm) Instructions: the total score is 200 points. Point values per problem are shown besides the questions: show all your work and carefully justify your steps in your work! You may receive partial credit for partially completed problems: you are allowed to use a calculator and a two-sided sheet of notes for this exam. You may not use any other references or any texts. December 21, 2011: a package, say b1, of 24 balls, contains 8 green, 8 white, and 8 purple balls. Another package, say b2, of 24 balls, contains 6 green, 6 white, and 12 purple balls. One of the two packages is selected at random. Then, four balls are randomly selected without replacement from the contents of the selected package. (4points) (a) Given that package b1 was not selected, what is the probability of drawing 2 green balls,
