EL ENG 126 Midterm: ee126-fa2001-mt2-Anantharam-exam
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The exams starts at 3:40 p. m. sharp and ends at 5:00 p. m. sharp. For each of the following statements, indicate whether you believe that the statement is true or believe it is false, and give a brief explanation of your reasoning. A correct answer without a valid explanation gets 1 points. E[w | x] = e[y | x] + e[z | x] (c) let x, y, and z be random variables, which you may assume have a joint density. Let the conditional density of y given x be given by fy|x(y|x) = (1/((3/21/2)*(2*pi)1/2))*e(-1/2)*(2/9)*(y-(1/2)*(x-2)-3)2 i. e. conditional on x, y is gaussian with mean (1/2)(x - 2) + 3 and variance 9/2. I throw three darts at a disk of radius r0 centered at the origin. Each dart lands on the disk and the point at which it lands is distributed according to fr theta(r, theta) = { (3*r2/(2*pi*r0: if 0 <= r <=r0 and -pi <= theta <= pi.
