In: Statistics and Probability
Let EE and FF be events of an experiment. Select all of the sentences below that are correct. Marks will be deducted for selecting options that are incorrect.
Select one or more:
a. If EE and FF are mutually exclusive then they must also be
independent.
b. If EE and FF are independent then
Pr(E∩F)=Pr(E)Pr(F)Pr(E∩F)=Pr(E)Pr(F).
c. If EE and FF are mutually exclusive then EE and FF can't
occur at the same time.
d. It is possible for EE and FF to be neither mutually exclusive
nor independent.
e. If EE and FF are mutually exclusive then Pr(E∪F)=0Pr(E∪F)=0.