Quiz1Soln - STA 3024 Introduction to Statistics 2 Quiz 1...

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STA 3024 Introduction to Statistics 2 Quiz 1 with Solution Problem 1 Two dice are rolled. How many rolls do we need for a better than evens chance of at least one double six? Solution: If we roll two dice r times, there are (6 × 6) r = 36 r possible outcomes, and there are in all 35 r outcomes with no double six. Hence, P ( no double 6 in r rolls) = 35 r 36 r . Thus, P ( at least 1 double six in r rolls) = 1 - P ( no double 6 in r rolls) = 1 - 35 r 36 r . For this to be better than evens, we need r large enough that 1 - 35 r 36 r > 1 2 which implies 25 r . ± Problem 2 Consider the area under the curve for the standard Normal distribution. Fill in the blank a) About % of the area is between z = - 1 and z = 1. b) About % of the area is between z = - 2 and z = 2. c) About % of the area is between z = - 3 and z = 3. d) About % of the area is between z = - 1 . 7 and z = 1 . 7. Solution a) About 68.26% of the area is between z = - 1 and z = 1. b) About 95.45% of the area is between
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This note was uploaded on 12/15/2011 for the course STA 3024 taught by Professor Ta during the Spring '08 term at University of Florida.

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Quiz1Soln - STA 3024 Introduction to Statistics 2 Quiz 1...

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