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Exercise 3. Right-Tail Quantile Notation: Suppose Z ~ N(0,1). For every value a between 0 and 1, let atisfy P(Z > za) = a; he probability is a that Z is larger than za. (In contrast, the a [left-tail] quantile of Z is denoted qą and atisfies P(Z < qa) e.g. P(Z > z.01) = 0.01. We say that za is the a right-tail quantile of Z. In word = a. In words, the probability is a that Z is less than or equal to qa.)

Exercise 3. Right-Tail Quantile Notation: Suppose Z ~ N(0,1). For every value a between 0 and 1, let atisfy P(Z > za) = a; he probability is a that Z is larger than za. (In contrast, the a [left-tail] quantile of Z is denoted qą and atisfies P(Z < qa) e.g. P(Z > z.01) = 0.01. We say that za is the a right-tail quantile of Z. In word = a. In words, the probability is a that Z is less than or equal to qa.)

MATLAB: An Introduction with Applications
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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Exercise 3. Right-Tail Quantile Notation: Suppose Z - N(0,1). For every value a between 0 and 1, let za satisfy P(Z > za) = a; the probability is a that Z is larger than za. (In contrast, the a [left-tail] quantile of Z is denoted qa and satisfies P(Z < qa) : e.g. P(Z > z.01) = 0.01. We say that za is the a right-tail quantile of Z. In words, = a. In words, the probability is a that Z is less than or equal to qa.) (d) What is the value of P(-z025 < Z < Z.025)? Draw a relevant picture.
Transcribed Image Text:Exercise 3. Right-Tail Quantile Notation: Suppose Z - N(0,1). For every value a between 0 and 1, let za satisfy P(Z > za) = a; the probability is a that Z is larger than za. (In contrast, the a [left-tail] quantile of Z is denoted qa and satisfies P(Z < qa) : e.g. P(Z > z.01) = 0.01. We say that za is the a right-tail quantile of Z. In words, = a. In words, the probability is a that Z is less than or equal to qa.) (d) What is the value of P(-z025 < Z < Z.025)? Draw a relevant picture.
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