Suppose that independent random variables, say X and Y, are normally distributed with means of 10 and 15, and standard deviations of 3 and 4, respectively. Find the following probabilities: (a) P(X+Y≥ 33), (b) P(-8 ≤ X-Y≤ 6), (c) P(20 ≤ X + Y ≤28), (d) P(X - 2Y ≤-10).

Suppose that independent random variables, say X and Y, are normally distributed with means of 10 and 15, and standard deviations of 3 and 4, respectively. Find the following probabilities: (a) P(X+Y≥ 33), (b) P(-8 ≤ X-Y≤ 6), (c) P(20 ≤ X + Y ≤28), (d) P(X - 2Y ≤-10).

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 independent random variables, say X and Y, are normally distributed
with means of 10 and 15, and standard deviations of 3 and 4, respectively. Find the
following probabilities: (a) P(X + Y ≥ 33), (b) P(−8 ≤ X − Y ≤ 6), (c) P(20 ≤
X + Y ≤ 28), (d) P(X − 2Y ≤ −10).

NOTE: Please explain each part, so the problem can be used as a Study Guide

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