Question: 30. A production process manufactures items with weights that are normally distributed with mean 15 pounds and standard deviation 0.1 pound. An item is considered

30. A production process manufactures items with weights that are normally distributed with mean 15 pounds and standard deviation 0.1 pound. An item is considered to be defective if its weight is less than 14.8 pounds or greater than 15.2 pounds. Suppose that these items are currently produced in batches of 1000 units. a. Find the probability that at most 5% of the items in a given batch will be defective. b. Find the probability that at least 90% of the items in a given batch will be acceptable. c. How many items would have to be produced in a batch to guarantee that a batch consists of no more than 1% defective items

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Perform the annual journal entries for eHealth under the old and new revenue recognition standard for one Medicare Advantage policy using the information in Exhibit 7. Under the new standard, how...

A production process manufactures items with weights that are normally distributed with mean 15 pounds and standard deviation 0.1 pound. An item is considered to be defective if its weight is less...

Question 1 Assume that the weight of a typical male follows normal distribution with =180 lb and =30 lb, a) (5 points) What fraction of males weigh more than 210 pounds? b) (10 points) What is the...

Question 1.1 An electronic sensor manufacturer has the following past data regarding the number of sensors that were malfunctioning in different batches produced independently along time. Batch index...

work on the question below You are at a table at a casino with a gambling game. In the game you spin two spinners. Spinner #1 has 4 equal spaces numbered 1,2,3,4. Spinner #2, has only two equal...

For the following Markov models a) draw the transition diagram, if one is not provided; b) put the states in (some) order and write down the transition matrix; c) calculate the probability of the...

A production process manufactures items with weights that are normally distributed with mean 17 pounds and standard deviation 0.1 pound. An item is considered to be defective if its weight is less...

Question 1.1 A production process manufactures items with weights that are normally distributed with mean of 17 pounds and a standard deviation of 0.1 pounds. An item is considered to be defective if...

Consider a 3-period sequential (alternating) bar- gaining model where two players have to split a pie worth 1 (starting with player 1 making the offer). Now the players have different discount...

Why is it important to have corporate teams write policies?

A project has an initial cost of $ 6 0 , 0 0 0 . Todays market value of the projects future cash flows is $ 7 5 , 0 0 0 . What is the difference between these two values called? Discounted payback,...

A fictitious firm, BrainSmart, is looking to improve their business and have asked you for some marketing help. The company has given you the following information for fiscal year ending May 31,...