a) Let X₁, X₂, X3,..., X, be a random sample of size n from population X. Suppose that X~N(0, 1) Σ=1 Xi and Y = -√n. What is the probability that Y² is between 0.02 and 5.02?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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a)
Let X₁, X₂, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)
and Y = –
Σ₁=1 Xi
√n
-
en.
What is the probability that Y² is between 0.02 and 5.02?
Transcribed Image Text:a) Let X₁, X₂, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1) and Y = – Σ₁=1 Xi √n - en. What is the probability that Y² is between 0.02 and 5.02?
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