2016-practice-test-2

# 2016-practice-test-2 - Math 2016 Practice Test 2 Name_ ID #...

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Math 2016 Practice Test 2 Name____________________________________ ID # CRN__________ READ THE DIRECTIONS. YOU MUST SHOW ALL WORK ON THIS TEST AND USE METHODS LEARNED IN CLASS OR FROM THE WORKSHEETS TO RECEIVE FULL CREDIT. CALCULATORS ARE PERMITTED. 1. ( 12 pts) Evaluate the Type I improper integral: dx x 2 1 ± ² . You must show all work and justify each step. 2. (10 pts) a) Precisely define what it means for a function p ( x ) to be a probability density function. b) With respect to p ( x ) , define its corresponding cumulative distribution function.

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3. ( 24 pts) Let p ( t ) be a probability distribution function defined as: p ( t ) = 0, t < 0 0.04 ± 0.0008 t ,0 ² t ² 50 0, 50 < t ³ ´ µ µ · ¸ µ ¹ µ a) Precisely define the median with respect to p ( t ) . b) Calculate the actual median (value) for the given function p ( t ) . c) Precisely define the mean with respect to p ( t ) . d) Calculate the mean for the given function p ( t ) .
4. (20 pts) Calculate

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## This note was uploaded on 03/30/2008 for the course MATH 2016 taught by Professor Recone during the Spring '08 term at Virginia Tech.

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2016-practice-test-2 - Math 2016 Practice Test 2 Name_ ID #...

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