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

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.\f