The following contingency table summarizes the relation between whether a millennial attended a college or not and the number of their parents that completed a college degree:

	attended ($\displaystyle {C}{1}$ )	didn't attend ($\displaystyle {C}{2}$ )	Total
0 ($\displaystyle {E}{1}$ )	213	259
1 ($\displaystyle {E}{2}$ )	244	54
2 ($\displaystyle {E}{3}$ )	274	25
Total

1. For a randomly selected student, describe the following in words:
   • $\displaystyle {E}{1}$  is Select an answer an event in which a randomly selected millenial's 1 parents completed a college degree an event in which a randomly selected millenial's 0 parents completed a college degree an event in which a randomly selected millenial attended a college an event in which a randomly selected millenial didn't attend a college an event in which a randomly selected millenial's 2 parents completed a college degree
   • $\displaystyle {P}{\left({E}{1}\right)}$  is Select an answer the probability that a randomly selected millenial's 0 parents completed a college degree the probability that a randomly selected millenial's 1 parents completed a college degree the probability that a randomly selected millenial attended a college the probability that a randomly selected millenial's 2 parents completed a college degree the probability that a randomly selected millenial didn't attend a college
2. Find the following probabilities: (Round the answers to 4 decimal places)
   
   1.  $\displaystyle {P}{\left({E}{1}\right)}=$
   2.  $\displaystyle {P}{\left({C}{2}\right)}=$
   3.  $\displaystyle {P}{\left({E}{1}\cap{C}{2}\right)}=$
   4.  $\displaystyle {P}{\left({E}{1}\cup{C}{2}\right)}=$
   5.  $\displaystyle {P}{\left({E}{2}{\mid}{C}{2}\right)}=$
3. Answer the following questions:
   1. Are $\displaystyle {E}{2}$ and $\displaystyle {C}{1}$ mutually exclusive? Select an answer not mutually exclusive mutually exclusive Explain. Select an answer Because the probability of one event depends on whether the other occured or not Because the probability of one event doesn't depend on whether the other occured or not Because the two events can occur at the same time Because the two events can not occur at the same time
   2. Are $\displaystyle {E}{2}$ and $\displaystyle {C}{1}$ independent? Select an answer independent dependent Explain. Select an answer Because the probability of one event doesn't depend on whether the other occured or not Because the two events can occur at the same time Because the two events can not occur at the same time Because the probability of one event depends on whether the other occured or not
   3. Are $\displaystyle {E}{3}$  and $\displaystyle {E}{2}$  mutually exclusive? Select an answer mutually exclusive not mutually exclusive Explain. Select an answer Because the two events can not occur at the same time Because the two events can occur at the same time Because the probability of one event doesn't depend on whether the other occured or not Because the probability of one event depends on whether the other occured or not
   4. Are $\displaystyle {E}{3}$  and $\displaystyle {E}{2}$  independent? Select an answer dependent independent Explain. Select an answer Because the two events can not occur at the same time Because the two events can occur at the same time Because the probability of one event doesn't depend on whether the other occured or not Because the probability of one event depends on whether the other occured or not