Advanced Statistic Number 5 to 8 Questions

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Hi, please only bid / accept if you are fully able to answer these questions. I need a full explanation so I can fully study the concepts! Please let me know if you need more time or you’d like to be paid more. I’m cautious because I have gotten incorrect explanations before. Thank you so much (:

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(A) c=
(B) c=
1B 3B 3.
(C) c=
(D) c=
(E) c= 1.
5. Let X be a real random variable with cumulative distribution function FX and Y = x2. Then the
cumulative distribution function for Y and y> 0 is given by
[1 Point)
(A) Fy(y) = Fx(y).
(B) Fy(y) = Fx(yº).
(C) Fy(y) = Fx(y).
(D) Fy(y) = Fx(y).
(E) Fy(y) = Fx(y?).
6. Let X be a real random variable and f:R + R the function with
f(0) =
ſ1,
=> 0
-1, x < 0. Which of the following statements for Y = f(X) is true? [1 Point] (A) E[Y] = 0. (B) E[Y) = 1. (C) Var[Y] = 2. (D) Y is a continuous real random variable. (E) Y = u({-1, 1}). 7. A particle moves randomly to the left or the right in a step-by-step fashion. Its position after the nth step (n = N) is modelled by Sn = X1 + ... + Xn where X1, X2, ... are i.i.d. random variables with X1 ~U({-1,1}). Which of the following statements is false? [1 Point] (A) The expected position of the particle after n steps (E[Sn]) is 0. (B) The expected square of the position of the particle after n steps (E[S2]) is n. (C) Sin converges to zero in probability as n → 00. (D) For large n, the position of the particle can be approximately described by a N (0,n)-distribution. (E) For large k e N, the positions of the particle after n resp. n + k steps (Sn resp. Sn+k) are independent 8. Let a € (0,1). What is the (1 – a)-quantile of a &(1)-distribution, i.e. the value u1-o such that for 2~8(1), we have P(Z Purchase answer to see full attachment Tags: random variables cumulative distribution Real random variables continuous real random variable step by step fashion User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.