ECON 312 Midterm: ECON312 Midterm12Spring2015Solution
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Instructions: this is closed book, closed notes exam, no calculators of any kind are allowed, show all the calculations, if you need more space, use the back of the page, fully label all graphs. Consider two random variables, x and y, with probability density functions: xf x. 0 for all other x. is non-negative for. )( yf integrates to 1 over the support: 1425. 02: suppose that the joint pdf of x and y is. We check if the joint pdf equals the product of the marginal pdfs. Thus x and y are not statistically independent because the joint pdf is not equal to the product of marginal pdfs. Remark: in the above solution my intention was that students use the given marginal pdfs, even though they are not consistent with the given joint pdf. Students, who derived the marginal from the given joint pdf, will receive full score as well. 3: suppose that the mean of y is.
