3. 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 (a) X+Y >0 (b) X+Y-2Z<-20 (c) 3X+5Y >1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
icon
Related questions
Question
3. 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
(а) X+Ү>0
(b) X+Ү-2Z < -20
(c) 3X +5Y > 1
(d) 4X – 4Y + 2Z< 25
(e) X+6Y+Z[ >2
(f) |2X-Y-6| < 1
Transcribed Image Text:3. 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 (а) X+Ү>0 (b) X+Ү-2Z < -20 (c) 3X +5Y > 1 (d) 4X – 4Y + 2Z< 25 (e) X+6Y+Z[ >2 (f) |2X-Y-6| < 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning