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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7f33394-5a52-4a6c-8272-5682354fd51c%2F11eb1bb1-9080-4252-8f21-1d8761b08de1%2F5nywqq8_processed.png&w=3840&q=75)
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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