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 math-340:m340-f15-hw:hw-11 [2015/09/24 10:34]dcs math-340:m340-f15-hw:hw-11 [2015/10/08 17:41] (current)dcs Both sides previous revision Previous revision 2015/10/08 17:41 dcs 2015/09/24 10:34 dcs 2015/09/24 10:19 dcs 2015/09/24 10:19 dcs created 2015/10/08 17:41 dcs 2015/09/24 10:34 dcs 2015/09/24 10:19 dcs 2015/09/24 10:19 dcs created Line 14: Line 14: **For Problem Set due 5 October**: 30(a)(b) from Exercises 3.12 and 2 from the the problems above **For Problem Set due 5 October**: 30(a)(b) from Exercises 3.12 and 2 from the the problems above + + Answers: + + - $F_X(x) = \begin{cases}0,&​ \text{if } x < 2, \\ \frac{3}{5},&​ \text{if } 2 \le x < 3, \\ 1,& \text{if } x \ge 3, \\ 0.\end{cases}$ + - $F_X(x) = \begin{cases}0,&​ \text{if } x < 0, \\ \frac{1}{16},&​ \text{if } 0 \le x < 1, \\ \frac{5}{16},&​ \text{if } 1 \le x < 2, \\ \frac{11}{16},&​ \text{if } 2 \le x < 3, \\ \frac{15}{16},&​ \text{if } 3 \le x < 4, \\ 1,& \text{if } x \ge 4. \end{cases}$ + - $F_Y(y) = \begin{cases}0,&​ \text{if } y < 0, \\ \frac{188}{221},&​ \text{if } 0 \le y < 1, \\ \frac{220}{221},&​ \text{if } 1 \le y < 2, \\ 1,& \text{if } y \ge 2.\end{cases}$ +