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) (c) P(-2.70 ≤ Z ≤ 0) (d) P(-2.70 ≤ Z ≤ 2.70) (e) P(Z ≤ 1.22) USE SALT (f) P(-1.65 ≤ Z) (g) P(-1.70 ≤ Z ≤ 2.00) (h) P(1.22 ≤ Z ≤ 2.50) (1) P(1.70 ≤ Z) (j) P(|Z| ≤ 2.50)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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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)
(c) P(-2.70 ≤ Z ≤ 0)
(d) P(-2.70 ≤ Z ≤ 2.70)
(e) P(Z ≤ 1.22)
USE SALT
(f) P(-1.65 ≤ Z)
(g) P(-1.70 ≤ Z ≤ 2.00)
(h) P(1.22 ≤ Z ≤ 2.50)
(i) P(1.70 ≤ Z)
(j) P(|Z| ≤ 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 ≤ Z ≤ 2.83) (b) P(0 ≤ Z≤ 2) (c) P(-2.70 ≤ Z ≤ 0) (d) P(-2.70 ≤ Z ≤ 2.70) (e) P(Z ≤ 1.22) USE SALT (f) P(-1.65 ≤ Z) (g) P(-1.70 ≤ Z ≤ 2.00) (h) P(1.22 ≤ Z ≤ 2.50) (i) P(1.70 ≤ Z) (j) P(|Z| ≤ 2.50)
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