X is a Gaussian random variable with mean 0.5 and variance 1/12. Y is a Bernoulli random variable. Y=-1 with probability

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X Is A Gaussian Random Variable With Mean 0 5 And Variance 1 12 Y Is A Bernoulli Random Variable Y 1 With Probability 1 (55.12 KiB) Viewed 28 times

X is a Gaussian random variable with mean 0.5 and variance 1/12. Y is a Bernoulli random variable. Y=-1 with probability 0.5 and Y=0 with probability 0.5. X and Y are independent. Z=X+Y. Generate n samples Z₁, Z2, ..., Zn. Let Z = 1 Zk. Compare the histogram of Z and N(0, ) for n=1, 2, 3, 5, 25. What do you observe and what are the implications? You need to submit plots of histograms and normal pdf's for n=1,2,3,5,25, as well as discussions of what you observe and the implications.