The Following Statements About Excepted Utility Theory Are All Equivalent $0, x_{C E}=0$

Multiple Choice

The following statements about excepted utility theory are all equivalent except:

A) For all gambles an individual's certainty equivalent equals $0, x_{C E}=0$
B) $\mathrm{E}(\mathrm{u}(\mathrm{x}) ) =\mathrm{u}(\mathrm{E}(\mathrm{x}) )$
C) The individual is risk averse.
D) The individual is risk-neutral.