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Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. P(0 Sz< 0.61) b. P(-1.44 < z< 0) c. P(z > 0.42)

Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. P(0 Sz< 0.61) b. P(-1.44 < z< 0) c. P(z > 0.42)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Given that \( Z \) is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. \( P(0 \leq Z \leq 0.61) \) [Text Box] b. \( P(-1.44 \leq Z \leq 0) \) [Text Box] c. \( P(Z > 0.42) \) [Text Box] d. \( P(Z \geq -0.42) \) [Text Box] e. \( P(Z < 2.16) \) [Text Box] f. \( P(Z \leq -0.74) \) [Text Box]
Transcribed Image Text:Given that \( Z \) is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. \( P(0 \leq Z \leq 0.61) \) [Text Box] b. \( P(-1.44 \leq Z \leq 0) \) [Text Box] c. \( P(Z > 0.42) \) [Text Box] d. \( P(Z \geq -0.42) \) [Text Box] e. \( P(Z < 2.16) \) [Text Box] f. \( P(Z \leq -0.74) \) [Text Box]
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