A company operates an assembly line. The company believes that there is a 3% probability that any given item produced on the line will contain a defect. If 100 items are pulled at random from the line, what is the probability there will be exactly 4 defective items?
If 100 items are pulled at random from the line, what is the probability there will be 9 or more defective items?
If X = the number of defectives in a sample of 100 items from the line find the mean and standard deviation of X.
Mean of X =
Standard Deviation=
A company operates an assembly line. The company believes that there is a 3% probability that...
The probability that a part produced by a certain factory's assembly line will be defective is 0.012. Find the probabilities that in a run of 45 items, the following results are obtained. (a) Exactly 3 defective items (b) No defective items (c) At least 1 defective item
The probability that a part produced by a certain factory's assembly line will be defective is 0.022. Find the probabilities that in a run of 48 items, the following results are obtained. (a) Exactly 4 defective items (b) No defective items (c) At least 1 defective item
The probability that a part produced by a certain factory's assembly line will be defective is 0.007. Find the probabilities that in a run of 40 items, the following results are obtained. (a) Exactly 3 defective items No defective items (c) At least 1 defective item a. The probability that exactly 3 parts will be defective is (Round to four decimal places as needed.) b. The probability that no parts will be defective is (Round to four decimal places as...
A quality control plan for an assembly line involves sampling n-10 finished items per day and counting Y, the number of defective items. If p denotes the probability of observing a defective item, then Ylp has binomial distribution with parameters n and p. But p varies from day to day and is assumed to have a uniform distribution over the interval [0, .25] a) Find the expected value of the number of defectives Y for any given day b) Find...
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....
The probability that a part produced by a certain factory's assembly line will be defective is 0.025. Suppose a sample of 130 parts is taken. Find the following probabilities by using the normal curve approximation to the binomial distribution. Use the table of areas under the standard normal curve given below. The probability that exactly 2 parts will be defective is ____. (Round to four decimal places as needed.) The probability that no parts will be defective is _____. (Round...
A manufacturer produces a component for use in the automotive industry. It is known that 1% of the items produced are defective. Suppose a random sample of 20 items is examined. (a) Find the probability that (i) no defectives are found in the sample, (ii) one or fewer defectives are found in the sample. (b) Find: (i) the mean (expected) number of defectives in the sample, (ii) the variance and standard deviation.
please answer rounded to four decimal places as needed, thank you! The probability that a part produced by a certain factory's assembly line will be defective is 0.012. Find the probabilities that in a run of 45 items, the following results are obtained. (a) Exactly 3 defective items (b) No defective items (c) At least 1 defective item
In the electronic manufacturing assembly line, engineers observe a probability of 0.2 that a cell phone modem chip is defective. Round probabilities to the nearest three decimal places. (a) [6pts] Suppose ten chips are selected for testing, what is the probability that at most one chip is defective? Suppose 600 chips are randomly selected for testing. (b) (6pts] We can approximate the Binomial distribution with a normal distribution. Compute the mean and standard deviation of this normal distribution (c) (pts]...
If 5% of the parts produced from a manufacturing process are defective, what is the probability that there are 30 or more defectives in a random sample of 500 items? a) 0.2475 b) 0.6515 c) 0.1515 d) 0.8485 e) 0.3485