1. **Problem Statement:** X[n] is a Bernoulli random process that takes on values -1 or 1, each with a probability of p = 1/2. Is Y[n] an IID random process in each case? **a)** \( Y[n] = (-1)^n X[n] \) **b)** \( Y[n] = \cos\left(\frac{n\pi}{2} + \frac{\pi}{6}\right) X[n] \) (Hint: \( \cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2} \); \( \sin\left(\frac{\pi}{6}\right) = \frac{1}{2} \))

Given, Xn is a Bernoulli random process that takes on values -1 or 1, each with probability of p=12.

Answered: 1- X[n] is a Bernoulli random process…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1- X[n] is a Bernoulli random process that takes on values -1 or 1, each with probability of p = ½. Is Y[n] an IID random process in each case? a) Y[n] = (-1)"X[n] b) Y[n] = cos √3 (¹7+X[n] (Hint: cos ( (²) =/; sin (7) = 1) 2