2. Suppose (X₁, X₂, ..., X9) is a random sample from Normal(u = 2,0² = 4²). Let X be the sample mean of X₁, X₂, ..., X, and S2 be the sample variance of X₁, X₂,..., X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. a. Find P(X1-21). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix| ≤ a means that -a ≤x≤a.) c. Find P(|X-2|< 1).

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no immediate rounding round off final answer show pertinent solution NO use of excel function ONLY use step-by-step
2. Suppose (X₁, X₂, ..., X9) is a random sample from Normal(u = 2,0² = 4²). Let X be
the sample mean of X₁, X2, ..., X, and S² be the sample variance of X₁, X2, ..., X9. For
items asking for the distribution of a statistic, do not forget to specify the
parameters.
a. Find P(X1-2< 1).
4
b. Find P(|X₁-2|< 1). (Hint: Recall that Ix| ≤ a means that -a ≤ x ≤a.)
c. Find P(|X-2|< 1).
Transcribed Image Text:2. Suppose (X₁, X₂, ..., X9) is a random sample from Normal(u = 2,0² = 4²). Let X be the sample mean of X₁, X2, ..., X, and S² be the sample variance of X₁, X2, ..., X9. For items asking for the distribution of a statistic, do not forget to specify the parameters. a. Find P(X1-2< 1). 4 b. Find P(|X₁-2|< 1). (Hint: Recall that Ix| ≤ a means that -a ≤ x ≤a.) c. Find P(|X-2|< 1).
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