When a particular machine is functioning properly, 80% of the items produced are non-defective. If 3 items are examined,...
When a particular machine is functioning properly, 75% of the items produced are non-defective. If eight items are examined, what is the probability that one is defective? If eight items are examined, what is the probability that exactly three are non-defective? If eight items are examined, what is the probability that at least 6 are non-defective?
When a machine is adjusted properly, 60% of the items produced by it are of high quality and the other 40% are of medium quality. However, the machine is improperly adjusted, 25% of the items produced by it are of high quality and 75% are of medium quality. The machine is improperly adjusted 10% of the time. Suppose that 4 items produced by the machine at a certain time are randomly selected and inspected. If 3 of these iterms are...
Suppose that when a machine is adjusted properly, 83% of the items produced by it are of high quality and the others are of medium quality. Suppose, however, that the machine is improperly adjusted during 17% of the time and that under these conditions 14% of the items produced by it are of high quality and the remaining are of medium quality. If an item is selected at random and found to be of high quality, what is the probability...
Suppose that when a machine is adjusted properly, 91% of the items produced by it are of high quality and the others are of medium quality. Suppose, however, that the machine is improperly adjusted during 13% of the time and that under these conditions 14% of the items produced by it are of high quality and the remaining are of medium quality. If an item is selected at random and found to be of high quality, what is the probability...
A noodle machine in Spumoni’s spaghetti factory makes about 5 percent defective noodles even when properly adjusted. The noodles are then packed in crates containing 1900 noodles each. A crate is examined and found to contain 115 defective noodles. What is the approximate probability of finding at least this many defective noodles if the machine is properly adjusted?
Items are examined sequentially at a manufacturing plant. The probability that an item is defective is 0.05. (a) What is the probability that the first 20 items examined are not defective? (b) What is the expected number of examined items until we get the fifth defective?
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items that are independently defective with probability 0.02, and machine 3 produces items that are independently defective with probability 0.04. Suppose we purchase a box with 100 items in it, all of which were produced by the same machine. The box was produced by machine 1 with probability 0.5, by machine 2 with probability 0.3, and by machine 3 with probability 0.2. (a) Find the...
Suppose that 25 percent of the items produced by a certain machine are defective and the parts are independent of each other. We will sample n items at random and inspect them. What is the expected value and variance for the described distribution?
A machine is operating at rate of 10% defective items. If each item is inspected as it is produced, find the probability that the first defective item found is the fifth item inspected.
Seven percent of items made by a certain machine are defective. The items are packed and sold in boxes of 50. What is the probability of 5 items being defective in a box?