Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four dec USE SALT (a) P(0 ≤ ZS 2.83)

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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Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤ 2.83)
(b) P(0 ≤Z≤ 2)
USE SALT
(c) P(-2.10 SZ≤ 0)
(d) P(-2.10 ≤ Z ≤ 2.10)
(e) P(Z ≤ 1.46)
(f) P(-1.85 ≤ Z)
(g) P(-1.10 ≤ z ≤ 2.00)
(h) P(1.46 ≤ Z ≤ 2.50)
(1) P(1.10 ≤ Z)
(1) P(|Z| ≤ 2.50)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.83) (b) P(0 ≤Z≤ 2) USE SALT (c) P(-2.10 SZ≤ 0) (d) P(-2.10 ≤ Z ≤ 2.10) (e) P(Z ≤ 1.46) (f) P(-1.85 ≤ Z) (g) P(-1.10 ≤ z ≤ 2.00) (h) P(1.46 ≤ Z ≤ 2.50) (1) P(1.10 ≤ Z) (1) P(|Z| ≤ 2.50) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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