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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A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

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A:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

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A: We have to find the sum

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Q: 10 8/10 + 9 7/12=

A:

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

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A: Explanation and solutions is given below.....

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A:

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A: 514+16=15+742

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A: Given that the expression is

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A: The solution is given in the next step.

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Q: find  3/4 + 1/8

A:

Q: 2

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A: Topic:- simplification

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A:

Q: ne binomial:

A:

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Find A.

A: Given

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A: Please see the answer below.

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.