Large lots of spark plugs are being inspected for quality. A lot is considered acceptable if 5% or fewer of the spark plugs are defective. A random sample of 10 spark plugs is selected from a given lot. If the lot is acceptable, with only 1% defective spark plugs, what is the probability that none of the spark plugs in the sample are defective?
Let X denote the number of defective spark plugs in the sample. Then
Required probability =
Large lots of spark plugs are being inspected for quality. A lot is considered acceptable if...
Large lots of spark plugs are being inspected for quality. A lot is considered acceptable if 5% or fewer of the spark plugs are defective. A random sample of 5 spark plugs is selected from a given lot. If the lot is unacceptable, with 40% defective spark plugs, what is the probability that exactly 3 of the spark plugs in the sample are defective?
spark plugs are being inspected for quality. A lot is considered acceptable if 5% or fewer of the spark plugs are defective. A random sample of 10 spark plugs is selected from a given lot. If the lot is acceptable, with only 1% defective spark plugs, what is the probability that none of the spark plugs in the sample are defective?
In a factory you buy large lots of bolts that has an acceptable quality level of 5% and a rejectable quality level of 10%. When the lots arrive to the factory the quality is controlled using the following double sampling plan: 1st Sample: Pick 30 bolts at random a. If they are all conforming then accept the lot b. If there are 3 or more nonconforming then reject the lot c. Else take a second sample 2nd Sample: Pick 50...
4. A company generally purchases large lots of a certain kind of electronic device. A method is used to make a decision, which is to reject a lot if 2 or more defective units are found in a random sample of 100 units. a. [3] What is the probability of rejecting a lot that is 1% defective? b. [3] What is the probability of accepting a lot that is 5% defective?
A manufacturer ships parts in lots of 1000 and makes a profit of $50 per lot sold. The purchaser, however, subjects the product to a sampling plan as follows: 10 parts are selected at random with replacement. If none of these parts is defective, the lot is purchased; if one part is defective,the lot is purchased but the manufacturer returns $10 to the buyer; if two or more parts are found to be defective, the entire lot is returned at...
A quality control engineer inspects a random sample of 30 calculators from an incoming batch of size 150 and accepts the lot if at most 4 are not in working condition; otherwise the entire lot must be inspected with the cost charged to the vendor. Suppose the lot contains 5 defective calculators. a.) What is the probability that such a lot will be accepted without further inspection? b.) Given the third calculator tested is the first calculator to be defective,...
Question 2: A company generally purchases large lots of a certain type of laptop computers. A method is used that rejects a lot if more than 2 defective laptops are found in a lot. Past experience shows that 10% laptops are defective. What is the probability of rejecting a lot of 20 units? What is the probability that in a batch of 20 laptops between 3 and 5 (inclusive) laptops are defective? On the average how many defective laptops are...
Four cutting machines are selected from a large lot of damaged machines. Each machine is inspected and classified as containing either a major or a minor defect. Let the random variables X and Y denote the number of machines with major and minor defects, respectively. Determine the range of the joint probability distribution of X and Y. a. X >= 0, Y >= 0 and X + Y = 5 b. X >= 1, Y >= 1 and X +...
7. A quality control engineer samples five from a large lot of manufactured firing pins and checks for defects. Unknown to the inspector, three of the five sampled firing pins are defective. The engineer will test the five pins in a randomly selected order until a defective is observed in which case the entire lot will be rejected). Let Y be the number of firing pins the quality control engineer must test. a) Find the probability distribution of Y. b)...
1 2 3 Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. Assume the inspectors function independently Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? Round the answer to three...