(CLT approximation) Suppose that X is a r.v. with mean 6 and variance 10, and X1,...,X100 are i.i.d. copies of X.(a) Use the Central Limit Theorem to approximate P (?100 Xi ≥ 1000). i=1(b) Suppose that ?ni=1 Xi = 28. Use the Central Limit Theorem to compute (1 − α) approximate confidence intervals for α = 0.05. (CLT approximation) Suppose that X is a r.v. with mean 6 and variance 10, and X1,..., X100 arei.i.d. copies of X.100(a) Use the Central Limit Theorem to approximate P(E X; > 1000).(b) Suppose that E X;confidence intervals for a = 0.05.28. Use the Central Limit Theorem to compute (1 – a) approximate1

Answered: Image /qna-images/answer/e5015e65-963e-4c87-b601-5b0acdbee477.jpg

(CLT approximation) Suppose that X is a r.v. with mean 6 and variance 10, and X1,. i.i.d. copies of X. X100 are ... 100 (a) Use the Central Limit Theorem to approximate P(EX; > 1000). vi=1 (b) Suppose that E X; = 28. Use the Central Limit Theorem to compute (1 – a) approximate confidence intervals for a = 0.05. -

(CLT approximation) Suppose that X is a r.v. with mean 6 and variance 10, and X1,. i.i.d. copies of X. X100 are ... 100 (a) Use the Central Limit Theorem to approximate P(EX; > 1000). vi=1 (b) Suppose that E X; = 28. Use the Central Limit Theorem to compute (1 – a) approximate confidence intervals for a = 0.05. -

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

(CLT approximation) Suppose that X is a r.v. with mean 6 and variance 10, and X1,...,X100 are i.i.d. copies of X.
1. (a) Use the Central Limit Theorem to approximate P (?100 Xi ≥ 1000). i=1
2. (b) Suppose that ?ni=1 Xi = 28. Use the Central Limit Theorem to compute (1 − α) approximate confidence intervals for α = 0.05.