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 math-340:m340-f15-hw:hw-1 [2015/08/26 05:51]dcs math-340:m340-f15-hw:hw-1 [2015/08/31 05:41] (current)dcs Both sides previous revision Previous revision 2015/08/31 05:41 dcs 2015/08/26 05:51 dcs 2015/08/25 08:02 dcs created 2015/08/31 05:41 dcs 2015/08/26 05:51 dcs 2015/08/25 08:02 dcs created Line 14: Line 14: - $\cup_{k=1}^\infty E_k$ - $\cup_{k=1}^\infty E_k$ - $\cap_{k=1}^\infty E_k$ - $\cap_{k=1}^\infty E_k$ + + + Answers: + + 1. a. $\Omega = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$ + + b. $E = \{HHH, HHT, HTH, THH, HTT, THT, TTH\}$ + + 2. a. $\Omega = [0, \infty)$ + + b. I. $E_1 \cup E_2 \cup E_3 = [0, 3)$ + + II. $E_1 \cap E_2 \cap E_3 = [0, 1)$ + + III. $E_3 \cap E_2^c = [2, 3)$ + + IV. $\cup_{k=1}^\infty E_k = \Omega = [0, \infty)$ + + V. $\cap_{k=1}^\infty E_k = [0, 1)$