Mr Lewis from Department of Health assumed that a random variable ? is normal with  mean 2 and standard deviation 3 and that random variable ? is normal with mean 0 and  standard deviation 4. Suppose that ? and ? are independent, use an appropriate method  to determine his probability distribution of the random variable ? + ?.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Mr Lewis from Department of Health assumed that a random variable ? is normal with 
mean 2 and standard deviation 3 and that random variable ? is normal with mean 0 and 
standard deviation 4. Suppose that ? and ? are independent, use an appropriate method 
to determine his probability distribution of the random variable ? + ?.

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