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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
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       - $\cup_{k=1}^\infty E_k$       - $\cup_{k=1}^\infty E_k$
       - $\cap_{k=1}^\infty E_k$       - $\cap_{k=1}^\infty E_k$
 +
 +
 +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. $\cap_{k=1}^\infty E_k = [0, 1)$