a)P(classified as defective)=P(defective and classified as defective)+P(not defective and classified as defective)=0.005*0.95+(1-0.005)*0.01=0.01470
b)
P(defective given classified as defective)=P(defective and classified as defective)/P(classified as defective)
=0.005*0.95/0.01470=0.323129
c)
P(classified as non defective)=1-P(defective)=1-0.01470=0.9853
hence P(good given classified as non defective)=P(good and classified as non defective)/P(classified as non defective)
=0.995*0.99/0.9853=0.999746
hence P(good given
4. An inspector working for a manufacturing company has a 95% chance of correctly identifying defective...
2-148. An inspector working for a manufacturing company has a 98% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defec- tive. The company has evidence that 1% of the items its line produces are nonconforming. (a) What is the probability that an item selected for inspection is classified as defective? b) If an item selected at random is classified as nondefective, what is the probability that it is indeed good?
2-148. An inspector working for a manufacturing company has a 98% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defec- tive. The company has evidence that 1% of the .ems its line produces are nonconforming. (a) What is the probability that an item selected for inspection is classified as defective? b) If an item selected at random is classified as nondefective, what is the probability that it is indeed good?
2-172. An inspector working for a manufacturing com- pany has a 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defective. The company has evidence that 0.9% of the items its line produces are nonconforming. (a) What is the probability that an item selected for inspection is classified as defective? (b) If an item selected at random is classified as nondefective, what is the probability that it is indeed good?
Narmal No Spac. Heading 1 Heading 2 tle Styles Paragraph 2-148. An inspector working for a manufacturing company has a 98% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as detec- tive. The company has evidence that 1% of the .ems its line produces are nonconforming. (a) What is the probability that an item selected for inspection is classified as defective? (b) If an item selected at random is classified as nondefective,...
An inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a .5% chance of incorrectly classifying a good item asdefective. The company has evidence that its line produces .9% of nonconforming items.a) What is the probability that an item selected for inspection is classified as defective?b) If an item selected at random is classified as non-defective, what is the probability that it is indeed good?
The odds that an inspector correctly identifies a damaged sample in a textile factory are estimated to be 95%. The odds that a sample is incorrectly identified as damaged is 2%. Moreover the percentage of damaged samples produced by this factory is 1%. a) What is the probability that a sample selected for inspection is identified as damaged? b) If a sample chosen randomly is identified as damaged, what is the probability that the sample is actually NOT damaged?
A manufacturing firm produces a product that has a ceramic coating. The coating is baked on to the product, and the baking process is known to produce 5% defective items. Every hour, 20 products from the thousands that are baked hourly are sampled from the ceramic-coating process and inspected. Complete parts a through c. a. What is the probability that 5 defective items will be found in the next sample of 20? The probability is that 5 defective items will...
Problem 2. The Hit-and-Miss Manufacturing Company produces items that have a probability p of being defective. These items are produced in lots of 150. Past experience indicates that p for an entire lot is either 0.05 or 0.25. Furthermore, in 90 percent of the lots produced, p equals 0.05 (so p equals 0.25 in 10 percent of the lots). These items are then used in an assembly and ultimately their quality is determined before the final assembly leaves the plant....
A manufacturing company changes an acceptance scheme on items from a production line before they are shipped. An inspector takes 1 item at random from a box of 25 items, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. If any of the three inspectors find a defective, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped....
Company records show that the proportion of defective parts has historically been 5%, however a quality control engineer believes that due to budget cuts these numbers have increased. To test this claim a random sample of N = 15 parts will be taken and if more than two defective parts are found the inspector will conclude that the proportion of defective parts has increases. If the true probability of a defective part is in fact p = 10% what is...