A manufacturing company produces 10,000 plastic mugs per week. This company supplies mugs to another company, which packages the mugs as part of picnic sets. The second company randomly samples 10 mugs sent from the supplier. If two or fewer of the sampled mugs are defective, the second company accepts the lot. What is the probability that the lot will be accepted if the mug manufacturing company actually is producing mugs that are 10% defective? 20% defective? 30% defective? 40% defective?

A manufacturing company produces 10,000 plastic mugs per week. This company supplies mugs to another company, which packages the mugs as part of picnic sets. The second company randomly samples 10 mugs sent from the supplier. If two or fewer of the sampled mugs are defective, the second company accepts the lot. What is the probability that the lot will be accepted if the mug manufacturing company actually is producing mugs that are 10% defective? 20% defective? 30% defective? 40% defective?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A small tool‑and‑die shop manufactures kneuter valves. A shipment of 15 valves to a Swedish automobile assembly plant contains three defective valves. Suppose the assembly plant randomly selects four valves from the shipment. What is the probability that the plant will select all three defective valves?
A survey reports that 53% of college students use Google as their search engine. If 100 students of a college were randomly selected and were asked whether he or she uses Google as their search engine, what is the probability that at least 66 will say yes?
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
A PC manufacturer buys 38% of its chips from Japan, and the rest from the US. Of the Japanese chips, 1.7% are defective; meanwhile, 1.1% of the American chips are defective. Find the probability that a chip is defective.
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
A bag contains 41 U.S. quarters and nine Canadian quarters. (The coins are identical in size.) If four quarters are randomly picked from the bag, what is the probability of getting at least one Canadian quarter? (Round your answer to one decimal place.)
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…
Four hundred fifty of the six thousand students at Ocean State College like math, three thousand five-hundred like English, and three hundred like both. What is the probability that one student, chosen at random, likes math or English?
A mix of 20 songs has 8 that are from Bruno Mars. What is the probability the first 3 songs played are by Bruno Mars. .049% 15% 4.9% O .15%
A large construction company has a workforce that is 80% men. Two workers are selected at random. What is the probability that both workers are of the same gender?
In a biology class, there are 40 students, 18 of whom are female and 22 are male. If two students are randomly selected as lab partners, what is the probability that both students are of the same gender?