Question: Create a random sequence of 100 zeros and ones simply by using your intuition to make them up by not using a random number generator

Create a random sequence of 100 zeros and ones simply by using your intuition to make them up by not using a random number generator to obviate the purpose.

Now check the following two measures of randomness.

  1. Are they uniformly distributed in their PMF?
  2. What is the frequency of the pairwise transitions 00, 01, 10, 11 ?

Does your sequence appear "random?"

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