Construct random sequences that provide counter examples to the 5 implications identified in Fig . A sample* QUIET`Er Is provided below . lej Sample...

Construct random sequences that provide counter examples to the 5 implications identified in Fig. 1.

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Construct random sequences that provide counter examples to the 5 implications identified in Fig . 1 . A sample*QUIET`Er Is provided below .lej Sample answer : Let & be a RY taking on values in the set ( I I' with both values being equally likely . Set* * = 1 - 17"x, A_ 1 .Then*, * , but*, does not converge to* in probability*Notice that this sample answer does not include a proof , since this is not required by the question ! You are*only asked to construct the sequence of RV'S.