Question

In: Statistics and Probability

A pipe is manufactured according to a process that produces 1 defective pipe per 5000 pipes...

A pipe is manufactured according to a process that produces 1 defective pipe per 5000 pipes produced. All pipes produced are subject to an x-ray inspection. 99.9% of all defective pipes fail the inspection (are correctly identified as defective). 0.2% of good pipes fail the inspection (are incorrectly identified as defective).

1)What is the probability that a randomly-selected pipe will fail the inspection? (E.g. enter 50% as 0.50.)

2) What is the probability that a pipe that passes the inspection is defective? (E.g. enter 50% as 0.50.)

3) What is the probability that a pipe that fails the inspection is good? (E.g. enter 50% as 0.50.)

Solutions

Expert Solution


Related Solutions

A machine produces pipes used in airplanes. The average length of the pipe is 16 inches....
A machine produces pipes used in airplanes. The average length of the pipe is 16 inches. The acceptable variance for the length is 0.3 inches. A sample of 17 pipes was taken. The average length in the sample was 15.95 inches with a variance of 0.4 inches. a. Construct a 95% confidence interval for the population variance. b. State the null and alternative hypotheses to be tested. c. Compute the test statistic. d. The null hypothesis is to be tested...
A firm purchased copper pipes a few years ago at $10 per pipe and stored them,...
A firm purchased copper pipes a few years ago at $10 per pipe and stored them, using them only as the need arises. The firm could sell its remaining pipes in the market at the current price of $9. What is the opportunity cost of each remaining pipe and what is the sunk cost? Assume that the fixed costs for a soybean farm, which include the costs of land, equipment and fertilizer is $10,000 per year and that labor is...
Super Gutter sells pipes for $11 each. The unit variable costs per pipe are $8.00. Fixed...
Super Gutter sells pipes for $11 each. The unit variable costs per pipe are $8.00. Fixed costs total $4,820. Required: 7. What is the contribution margin per pipe? 8. What is the break-even point in dollars? 9. How many pipes must be sold to earn a pre-tax income of $5,000? 10. What is the margin of safety assuming 1,800 pipes are sold?
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of...
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of 40 items: a. 12% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability c) more than 12% or less than 2% will be defective? (Round the z-value to 2...
Chosa Corp. manufactured 900 engines that were defective. The per unit manufacturing costs of the engines...
Chosa Corp. manufactured 900 engines that were defective. The per unit manufacturing costs of the engines were Direct Materials. 2,700 $/ unit DL. 1,900 $/u VMOH. 1,100 $/u fixed overhead. 3,600 $/u The engines normally sell for $15,700 each. the company can rework the engines, which will cost $1,400 per unit for direct materials , $2,100 per unit for direct labor and $950 per unit for variable manufactuing overhead alternatively the company could sell rhe engine “as is “ for...
The maximum production of a chips packing company is 5000 packages per day. The company produces...
The maximum production of a chips packing company is 5000 packages per day. The company produces teo types of chips, regular and diet. It costs $1.00 to produce each package of regular and $1.20 to produce each package of diet. The daily operating budget is $5400. The profit is $0.15 per regular and $0.17 per diet chips. How much of each type of chip is produced to obtain the maximum profit?
Q1)  An investment with an initial cost of $16,000 produces cash flows of $5000 per year for...
Q1)  An investment with an initial cost of $16,000 produces cash flows of $5000 per year for 5 years. If the required rate of return is 10%, - what is the payback period? - what is the discounted payback period for the investment? Q2) The Balistan Rug Company is considering investing in a new loom that will cost $12,000. The new loom will create positive end of year cash flow of $4999.62 for each of the next 3 years. The internal...
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
A factory produces components of which 1% are defective. The components are packed in boxes of...
A factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random. a) Find the probability that there are at most 2 defective components in the box.   b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective...
A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective liters. A random sample of 300 liters yielded 12 defects. Construct and interpret a 90% confidence interval for the true proportion of defective water liters.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT