6) Consider the random variable Z₁ = cos (2 * π * Yn/n) where Yn is binomial(n,p) a. What is its asymptotic variance for arbitrary p as n increases b. What happens at p=1/2 Write an r program that shows you graphical the (simulated) standard deviation of Zn vs 1/sqrt(n) as n increases for different values of p including 0.5

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