6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and variance 60. The blood pressure of a non-diabetic taken at random has a normal distribution with mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken at random and X n be the average blood pressure of four non-diabetics taken at random. Find Prob( X a > X n). Hint: Define D by D = X d - X n, find the mean and the variance of D and then calculate the probability that D> 0.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126
and variance 60. The blood pressure of a non-diabetic taken at random has a normal distribution
with mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken at
random and X n be the average blood pressure of four non-diabetics taken at random.
Find Prob( X d > X n).
Hint: Define D by D= X d - X n, find the mean and the variance of D and then calculate the
probability that D>0.
Transcribed Image Text:6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and variance 60. The blood pressure of a non-diabetic taken at random has a normal distribution with mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken at random and X n be the average blood pressure of four non-diabetics taken at random. Find Prob( X d > X n). Hint: Define D by D= X d - X n, find the mean and the variance of D and then calculate the probability that D>0.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman