https://dananne.org/dw/ 2026-05-06T06:58:24+00:00 https://dananne.org/dw/ https://dananne.org/dw/lib/tpl/codowik/images/favicon.ico text/html 2015-09-03T11:49:28+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-1&rev=1441306168&do=diff Mathematics 340 - Fall 2015 Problem Set # 1 Exercises 1.9: 10, 11, 17, 33 text/html 2015-09-13T11:38:34+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-2&rev=1442169514&do=diff Mathematics 340 - Fall 2015 Problem Set # 2 Exercises 1.9: 42, 47 Exercises 2.11: 8, 11, 20 text/html 2015-10-06T08:55:51+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-3_4&rev=1444146951&do=diff Mathematics 340 - Fall 2015 Problem Set # 4 Exercises 4.12: 6, 14, 25, 58 text/html 2015-10-06T05:24:16+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-3&rev=1444134256&do=diff Mathematics 340 - Fall 2015 Problem Set # 3 Exercises 3.12: 24, 30(a)(b) And: * Let $X$ be the number of heads in four tosses of a fair coin. Find the cumulative distribution function of $X$. * Suppose $X$ and $Y$ are independent random variables, both with uniform distributions on the integers $-2, -1, 0, 1, 2$$T = X + Y$$X$$Y$$1, 2, \ldots, 10$$W = \max(X, Y)$$U = \min(X, Y)$ text/html 2015-10-29T06:23:38+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-5&rev=1446125018&do=diff Mathematics 340 - Fall 2015 Problem Set # 5 Exercises 5.10: 24, 47, 54 Exercises 6.10: 18 And: Suppose $Z \sim \mathcal{N}(0, 1)$ and $W = Z^2$. Show that the probability density function of $W$ is $g_W(w) = \begin{cases}\frac{1}{\sqrt{2\pi w}}e^{-\frac{w}{2}},& \text{if } w > 0, \\ 0,& \text{otherwise}.\end{cases}$ text/html 2015-11-08T11:14:19+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-340:m340-f15-ps:ps-6&rev=1447010059&do=diff Mathematics 340 - Fall 2015 Problem Set # 6 Exercises 6.10: 15, 23 Exercises 7.8: 17, 35 And: * Suppose $X$ and $Y$ are jointly continuous random variables with joint probability density function $f_{X,Y}(x,y) = \begin{cases}8xy,& \text{if } 0 < x < y < 1,\\ 0,& \text{otherwise}.\end{cases}$ Find each of the following: * $E(X)$ * $E(Y^2)$ * $E(XY^3)$