Consider the following independent random variables X1 N(8, 4), X2 (15, 25), X3 - N(12,9). if Y = X1 – X2 + 2X3 2 - 8 Х2 — 15 ´X3 + 2 - 12 U = 2 3 calculate a) P[25.4 < Y < 29.25] b) P[U < 9.83]

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the following independent random variables
X1
N(8, 4), X2
(15, 25),
X3 - N(12,9). if Y = X1 – X2 + 2X3
2
- 8
Х2 — 15
´X3
+
2
- 12
U =
2
3
calculate
a) P[25.4 < Y < 29.25]
b) P[U < 9.83]
Transcribed Image Text:Consider the following independent random variables X1 N(8, 4), X2 (15, 25), X3 - N(12,9). if Y = X1 – X2 + 2X3 2 - 8 Х2 — 15 ´X3 + 2 - 12 U = 2 3 calculate a) P[25.4 < Y < 29.25] b) P[U < 9.83]
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