Explore BrainMass
Share

Production under normally distributed process

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

A production process manufactures items with weights that are normally distributed with
mean 16 pounds and standard deviation 0.15 pound. An item is considered to be defective if its weight is less than 15.8 pounds or greater than 16.2 pounds. Suppose that these items are currently produced in batches of 200 units. [Hint: First, use the normal distribution to find the probability of obtaining a non-defective item, then use an appropriate binomial distribution to answer parts (a) and (b).]

(a) Find the probability that at most 17.5% of the items in a given batch will be defective.

(b) Find the probability that at least 75% of the items in a given batch will be acceptable.

© BrainMass Inc. brainmass.com October 25, 2018, 8:25 am ad1c9bdddf
https://brainmass.com/statistics/probability/production-under-normally-distributed-process-539523

Solution Preview

mean (mu) = 16 pound
SD = 0.15

Defective, if wt (X) is less than 15.8(x1) or greater than 16.2 (x2) pounds respectively.

Probability of defective p = P( 15.8 > X > 16.2)

z1 = (x1 - mu)/SD = (15.8 - 16)/0.15 = -1.33

z2 = (x2 - ...

Solution Summary

A problem solved related normally distributed production process, where probability of defective items is estimated.

$2.19
See Also This Related BrainMass Solution

Organizational Anlysis of Coca-Cola

Choose an organization that sells goods of some sort.

Discuss:
- History and background of the organization, also including the types of goods sold and industry in which the organization operates.
- The organization's supply chain characteristics -- type of supply chain, negotiations strategies, performance of the supply chain, and areas for improvement.
- Approach to maintaining a competitive advantage, and if applicable the global business operations strategy.
- The organizations' production processes, customer interaction in those processes, if applicable, and the technologies used in production.
- The organization's commitment to quality and excellence and how that is measured and reported.
- The organization's inventory methodologies and model(s), and any areas for improvement.
- The organization's operational planning policies, job designs, and work environment issues, if any.
- The organization's movements, if any, toward lean processes, and the effects of those lean processes on culture, efficiency, and success.

View Full Posting Details