(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. -

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  1. (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.

(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.
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) approximate
1
Transcribed Image Text:(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. 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) approximate 1
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