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ec41f10_hw2

# ec41f10_hw2 - Kata Bognar [email protected] Economics 41...

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Economics 41 Statistics for Economists UCLA Fall 2010 Homework Assignment 2. Due date: October 14, 2010. Your Name: Your TA’s Name: NOTE: Please show your calculations for Questions 1, 3-11, 14-15. The exercises are from the textbook (Tannis and Hogg: A Brief Course in Mathematical Statistics). Conditional Probability. 1. A fair coin is ﬂipped twice. Let the events A = “the ﬁrst toss is heads” , B = “the second toss is heads” and C = “at least one toss is heads” . Determine the following probabilities. (a) P ( B ) (b) P ( B | A ) (c) P ( B | C ) (d) P ( C ) (e) P ( C | A ) (f) P ( C | B 0 ) 2. Two independent events are: (a) always mutually exclusive events (b) never mutually exclusive events (c) always complementary events (d) always subjective events 3. An independent research team inspects 500 batteries manufactured by two compa- nies for being good or defective. The following table gives the two-way classiﬁcation of these 500 batteries. Good

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ec41f10_hw2 - Kata Bognar [email protected] Economics 41...

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