The inside diameter of a cylindrical tube is a random variable with a mean of 3 inches and a standard devia-tion of 0.02 inch, the thickness of the tube is a random variable with a mean of 0.3 inch and a standard deviation of 0.005 inch, and the two random variables are indepen-dent. Find the mean and the standard deviation of the outside diameter of the tube.
The inside diameter of a cylindrical tube is a random variable with a mean of 3 inches and a standard devia-tion of 0.02 inch, the thickness of the tube is a random variable with a mean of 0.3 inch and a standard deviation of 0.005 inch, and the two random variables are indepen-dent. Find the mean and the standard deviation of the outside diameter of the tube.
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
Section13.3: Special Probability Density Functions
Problem 7E
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Question
The inside diameter of a cylindrical tube is a random
variable with a mean of 3 inches and a standard devia-
tion of 0.02 inch, the thickness of the tube is a random
tion of 0.02 inch, the thickness of the tube is a random
variable with a mean of 0.3 inch and a standard deviation
of 0.005 inch, and the two random variables are indepen-
dent. Find the mean and the standard deviation of the
dent. Find the mean and the standard deviation of the
outside diameter of the tube.
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