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(b) Without using the tables, what should t be approximately so that P{|Z| > t}≈ 0.05? (By not using the tables, I mean knowing only P{-k < Z < k} for k = 1, 2, 3.) (c) Using the tables, get a more accurate expression for t.

(b) Without using the tables, what should t be approximately so that P{|Z| > t}≈ 0.05? (By not using the tables, I mean knowing only P{-k < Z < k} for k = 1, 2, 3.) (c) Using the tables, get a more accurate expression for t.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Suppose \( Z \) is \( N(0, 1) \). (a) Use the tables to approximate \( P\{Z < -1.45\} \). (b) Without using the tables, what should \( t \) be approximately so that \[ P\{|Z| > t\} \approx 0.05? \] (By not using the tables, I mean knowing only \( P\{-k < Z < k\} \) for \( k = 1, 2, 3 \).) (c) Using the tables, get a more accurate expression for \( t \).
Transcribed Image Text:2. Suppose \( Z \) is \( N(0, 1) \). (a) Use the tables to approximate \( P\{Z < -1.45\} \). (b) Without using the tables, what should \( t \) be approximately so that \[ P\{|Z| > t\} \approx 0.05? \] (By not using the tables, I mean knowing only \( P\{-k < Z < k\} \) for \( k = 1, 2, 3 \).) (c) Using the tables, get a more accurate expression for \( t \).
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Given Z~N(0,1)

 

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