A machine at Kasem Steel Corporation makes iron rods that are supposed to be 50 inches long. However, the machine does not make all rods of exactly the same length. It is known that the probability distribution of the lengths of rods made on this machine is normal with a mean of 50 inches and a standard deviation of 0.06 inches. The rods that are either shorter than 49.874 inches or longer than 50.138 inches are discarded. What percentage of the rods made on this machine are discarded?
Added by Jeffrey R.
Step 1
We are given a normal distribution with a mean of 50 inches and a standard deviation of 0.06 inches. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Lien Le and 52 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 machine at Kasem Steel Corporation makes iron rods that are supposed to be 50 inches long. However, the machine does not make all rods of exactly the same length. It is known that the probability distribution of the lengths of rods made on this machine is normal with a mean of 50 inches and a standard deviation of 0.06 inches. a) (3 marks) Find the probability that the length of a randomly selected rod is less than 50.05 inches. b) (3 marks) The rods that are either shorter than 49.91 inches or longer than 50.09 inches are discarded. What percentage of the rods made on this machine are discarded? c) (3 marks) Find the first quartile of this distribution.
Shaiju T.
A machine makes iron rods that are supposed to be 50 inches long. It is known that probability distribution of rods made on this machine is normal with mean of 50 inches and standard deviation of .06 inches. The rods that are either shorter than 49.85 inches or longer than 50.15 inches are discarded. What percentage of rods is discarded?
Tim T.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD