Test_1_2001

# Test_1_2001 - Department of Economics University of...

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Department of Economics Professor Dale J. Poirier University of California, Irvine October 23, 2001 MIDTERM TEST ECON 220A Statistics and Econometrics I (open book) Directions : You must answer each of the following questions. Points (out of 100) are allocated as noted to the left of each question. Allocate your time according to these points. To receive any partial credit, you must show your work. Results from the text need not be reproduced in detail - you can merely cite the source. 1. Suppose your neighbor has two children. Assume that the gender of a child is a Bernoulli random variable with θ = ½ and that gender is independent across births. (10) (a) Suppose you ask her whether she has any boys, and she says yes. What is the probability that the other child is a girl? (10) (b) Suppose instead that you happen to see one of her children run by, and it is a boy. What is the probability that the other child is a girl? (25) 2. A miner is trapped in a mine containing three indistinguishable doors. The first door

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## This note was uploaded on 12/12/2010 for the course ECON ECON 220A taught by Professor Dalej.poirier during the Fall '10 term at UC Irvine.

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Test_1_2001 - Department of Economics University of...

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