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) (b) P(0 ≤ Z ≤ 2) (c) P(-2.10 ≤ Z ≤ 0)
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) (b) P(0 ≤ Z ≤ 2) (c) P(-2.10 ≤ Z ≤ 0)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 ≤ 2.21)
(b) P(0 ≤ Z ≤ 2)
(c) P(-2.10 ≤ Z ≤ 0)
(d) P(-2.10 ≤ Z ≤ 2.10)
(e) P(Z ≤ 1.87)
USE SALT
(f) P(-1.25 ≤ Z)
(g) P(-1.10 ≤ Z ≤ 2.00)
(h) P(1.87 ≤ Z ≤ 2.50)
(i) P(1.10 ≤ Z)
(j) P(|Z| ≤ 2.50)
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Solution-:
In this case, Z is the standard normal random variable with and .
Mathematically, it is mentioned as,
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