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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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