Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.) USE SALT (a) P(0 ≤ Z≤ 2.21) 0.4865 ✓ (b) P(0 ≤ Z≤ 2) 0.4773 (c) P(-2.90 ≤ Z ≤ 0) 0.4981

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.)
USE SALT
(a) P(0 ≤ Z≤ 2.21)
0.4865
(b) P(0 ≤Z≤ 2)
0.4773
(c) P(-2.90 ≤ Z ≤ 0)
0.4981
(d) P(-2.90 ≤ Z ≤ 2.90)
(e) P(Z ≤ 1.26)
(f) P(-1.85 ≤ Z)
(g) P(-1.90 ≤ Z ≤ 2.00)
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.) USE SALT (a) P(0 ≤ Z≤ 2.21) 0.4865 (b) P(0 ≤Z≤ 2) 0.4773 (c) P(-2.90 ≤ Z ≤ 0) 0.4981 (d) P(-2.90 ≤ Z ≤ 2.90) (e) P(Z ≤ 1.26) (f) P(-1.85 ≤ Z) (g) P(-1.90 ≤ Z ≤ 2.00)
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