Suppose that X ∼ N(3.2, 6.5), Y ∼ N(−2.1, 3.5), and Z ∼ N (12.0, 7.5) are independent random variables. Find the probability that (d) 4X − 4Y + 2Z ≤ 25 (e) |X+6Y+Z| ≥ 2 (f) |2X−Y−6| ≤ 1

Suppose that X ∼ N(3.2, 6.5), Y ∼ N(−2.1, 3.5), and Z ∼ N (12.0, 7.5) are independent random variables. Find the probability that (d) 4X − 4Y + 2Z ≤ 25 (e) |X+6Y+Z| ≥ 2 (f) |2X−Y−6| ≤ 1

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose that X ∼ N(3.2, 6.5), Y ∼ N(−2.1, 3.5), and Z ∼ N (12.0, 7.5) are independent random variables. Find the probability that

(d) 4X − 4Y + 2Z ≤ 25

(e) |X+6Y+Z| ≥ 2

(f) |2X−Y−6| ≤ 1

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