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55010Solutio2 - STAT 550 Homework 2 Solution 1 1.4-4 There...

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1 STAT 550 Homework 2 Solution 1) 1.4-4 There are 10 ingredients in a fast food restaurant. The different ways selected by a customer is given by 10 10 10 10 10 10 10 10 10 10 10 10 0 1 2 3 4 5 6 7 8 9 10 2 1024 C C C C C C C C C C C 2) 1.4-5 The total number of ways to select 5 from 30 pieces of candy is given by 30 5 N C (a) Let A denote the event of getting 4 chocolates and 1 vanilla. In 26 4 4 1 C C ways could A occur. 26 4 4 1 30 5 ( ) 0.42 C C p A C (b) Let B denote the event of getting 5 chocolates. In 26 5 C ways could B occur. 26 5 30 5 ( ) 0.46 C p B C (c) Only 4 pieces of the candy are vanilla. Therefore, there must be at least one chocolate among the 5 pieces of candy. 30 5 0 1 ( ) 1 1 p no chocolate C 3) 1.4-6 (a) 8 10 6 13 1 1 2 2 =93600 C C C C (b) Let A denote the event that there are at least four upperclassmen. 18 19 18 19 18 19 0 6 1 5 2 4 (6 ),(5 ), (4 ) 829464 A upperclassmen upperclassmen upperclassmen C C C C C C 4) 1.4-8
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