Statistics & Probability

Let X1,X2,… be a Bernoulli process. We will define some new sequences of random variables and inquire whether they form a Bernoulli process.

1. Let Yn = X2n. Is the sequence Yn a Bernoulli process?

2. Let Un = Xn+1. Is the sequence Un a Bernoulli process?

3. Let Vn = Xn+Xn+1. Is the sequence Vn a Bernoulli process?

4. Let Wn = (−1)nXn. Is the sequence Wn a Bernoulli process?

  1. 👍
  2. 👎
  3. 👁
  1. 1. Yes
    2. Yes
    3. No
    4. No

    1. 👍
    2. 👎

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