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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
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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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).


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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).
Transcribed Image Text: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).
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