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Unformatted text preview: 1. The following is a fictional joint probability distribution for the age of an individual and the neigh- borhood of San Diego in which he lives. Neighborhood/Age 25 years 35 years 60 years Pacific Beach 0.2 0.1 North Park 0.1 0.2 0.1 La Jolla 0.1 0.2 (a) What is the probability of being 25 years old? What is the probability of being 35 years old? What is the probability of being 60 years old? (b) What is the probability of living in La Jolla conditional on being 60 years old? (c) What is the probability of living in Pacific Beach conditional on being 60 years old? (d) What is the mean of age? What is the variance of age? (e) Are age and neighborhood where people live independent? Justify your answer. 2. Suppose each observation X i has a normal distribution with unknown mean μ and variance σ 2 = 1. Recall this implies that if you sample N observations, then ¯ X has exactly a normal distribution with mean μ and variance σ 2 /N . Suppose you sample 25 observations and find that ¯ X = 12....
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This note was uploaded on 11/30/2010 for the course ECON 120A 1684210 taught by Professor Elliot during the Spring '10 term at UCSD.
- Spring '10