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 ≤ZS 2.83) 0.4977 (b) P(0 ≤ ZS 2) 0.4772 USE SALT (c) P(-2.10 ≤ Z≤ 0) 0.4821 (d) P(-2.10 SZ ≤ 2.10) (e) P(Z ≤ 1.46) (f) P(-1.85 ≤ Z) (9) P(-1.10 SZ≤ 2.00) (h) P(1.46 SZ≤ 2.50) (1) P(1.10 SZ) (1) P(IZI ≤ 2.50)

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 ≤ZS 2.83)
0.4977
(b) P(0 ≤ ZS 2)
0.4772
USE SALT
(c) P(-2.10 ≤ Z≤ 0)
0.4821
(d) P(-2.10 SZ ≤ 2.10)
(e) P(Z ≤ 1.46)
(f) P(-1.85 ≤ Z)
(9) P(-1.10 SZ≤ 2.00)
(h) P(1.46 SZ≤ 2.50)
(1) P(1.10 SZ)
(1) P(IZI ≤ 2.50)
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 ≤ZS 2.83) 0.4977 (b) P(0 ≤ ZS 2) 0.4772 USE SALT (c) P(-2.10 ≤ Z≤ 0) 0.4821 (d) P(-2.10 SZ ≤ 2.10) (e) P(Z ≤ 1.46) (f) P(-1.85 ≤ Z) (9) P(-1.10 SZ≤ 2.00) (h) P(1.46 SZ≤ 2.50) (1) P(1.10 SZ) (1) P(IZI ≤ 2.50)
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