A certain part consists of two layers: One layer is made from material with a thickness that is normally distributed with a mean of 1.2 mm and a standard deviation of 0.2 mm. The other layer is made from a material with a thickness that is independent of the first layer and is also from a normal distribution with a mean of 3.1 mm and a standard deviation of 0.04 mm. What is the distribution of the total thickness?
Added by Michael H.
Step 1
To do this, we can use the properties of the normal distribution: - The mean of the sum of two random variables is the sum of their means. - The variance of the sum of two independent random variables is the sum of their variances. Using these properties, we can Show more…
Show all steps
Close
Your feedback will help us improve your experience
Umar Sohail Qureshi and 92 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A laminated item is composed of five layers. The layers are a simple random sample from a population whose thickness has mean 1.2 mm and standard deviation 0.05 mm. What is the standard deviation of the thickness of an item? 0.05 mm .25 mm 0.1118 mm
Supreeta N.
Madhur L.
Metal plate thicknesses are normally distributed with a mean of 4.3 mm and a standard deviation of 0.12 mm. (a) If one metal plate is placed on top of another, what is the distribution of their combined thickness? (b) What is the distribution of the average thickness of 12 metal plates?
Christopher S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD