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# ecm06-hw1 - Winter 06 Econometrics ASSIGNMENT 1 100 POINTS...

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Winter 06 1 Econometrics ASSIGNMENT 1 100 POINTS TOTAL DUE: Thursday, January 26, 3:20 p.m. **IMPORTANT REMINDER: LATE ASSIGNMENTS CANNOT BE ACCEPTED – NO EXCEPTIONS** Note : Questions 1~3 are simple and straightforward. Questions 4 & 5 are also simple, albeit long. Questions 7 & 8 are on hypothesis testing. 1. [5] Let X be the random variable distributed as Normal (5,4). Find the probabilities of the following events: (i) P( X 6) (ii) P( X > 4) (iii) P(| X – 5| > 1) 2. [5] Let X denote the prison sentence, in years, for people convicted of auto theft in California. Suppose that the pdf of X is given by 2 1 9 ( ) ( ) ,0 3. = < < f x x x Use integration to find the expected prison sentence. [ hint : requires calculus.] 3.[5] Let X denote the annual salary on university professors in the United States, measured in thousands of dollars . Suppose that the average salary is 52.3, with a standard deviation of 14.6. Find the mean and standard deviation when salary is measured in dollars .

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ecm06-hw1 - Winter 06 Econometrics ASSIGNMENT 1 100 POINTS...

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