A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Bolts produced by a machine are acceptable provided that their length is within the range from 5.95 to 6.05 centimeters. Suppose that the lengths of the bolts produced are normally distributed with μ = 6 centimeters and σ = 0.02. What is the probability that a bolt will be of an acceptable length?
anonymous
 5 years ago
Bolts produced by a machine are acceptable provided that their length is within the range from 5.95 to 6.05 centimeters. Suppose that the lengths of the bolts produced are normally distributed with μ = 6 centimeters and σ = 0.02. What is the probability that a bolt will be of an acceptable length?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, here you want the probability of 5.95 to 6.05  which, in terms of the z number, is (6.056.00)/0.02. Use that z number to get the probability of something less than 6.05 (that should be relatively simple), and then subtract 0.5 from that to get the probability from 6.00 to 6.05 (because the normal curve is split in half at the mean). Because this normal distribution is symmetrical, you can multiply that last value by 2 to get the probability between the two bounds, each on the opposite side of the mean.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.