Let X1 and X2 be two independent random variables having Gaussian (normal) distribution with means E[X1] = 30 and E[X2] = 20. respectively, and Var[X1] =9 and Var[X2] = 16. respectively. Then the probability that X1- X2 assume values smaller than 15 (approx to the second digit after the dot) is equal to: a) 0.84 (b) 0.16 (c) 0.68

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question
Let X1 and X2 be two independent random variables having Gaussian (normal)
distribution with means E[X1] = 30 and E[X] = 20. respectively, and
Var[X1] = 9 and Var[X2] = 16. respectively. Then the probability that X – X2
assume values smaller than 15 (approx to the second digit after the dot) is equal to:
a) 0.84
(b) 0.16
(c) 0.68
Transcribed Image Text:Let X1 and X2 be two independent random variables having Gaussian (normal) distribution with means E[X1] = 30 and E[X] = 20. respectively, and Var[X1] = 9 and Var[X2] = 16. respectively. Then the probability that X – X2 assume values smaller than 15 (approx to the second digit after the dot) is equal to: a) 0.84 (b) 0.16 (c) 0.68
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning