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?
a) P(x = 1)
BINOM.DIST(1,8,0.25,FALSE)
= 0.2670
b) P(x = 3)
BINOM.DIST(3,8,0.75,FALSE)
= 0.0231
c) P(x >=6)
= 1-BINOM.DIST(5,8,0.75,TRUE)
= 0.6785
When a particular machine is functioning properly, 75% of the items produced are non-defective. If eight...
When a particular machine is functioning properly, 80% of the items produced are non-defective. If 3 items are examined, what is the probability that one is 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...
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?
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...
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
6) If 10% of the parts produced by a machine are defective, find the probability of at least one defective part in a random sample of five. Use probability notation to solve this problem.
(a) The records show that 8% of the items produced by a machine do not meet the specifications. You take a sample of 100 units. Find the standard deviation (Use exactly two decimal places) (b) The records show that 8% of the items produced by a machine do not meet the specifications. You take a sample of 100 units. What is the probability that this sample of 100 units contains five or more defective units?Use the normal approximation to the...
Example: Suppose the machine is watched for three hours. What is the probability that it will make no more than 12 defective items? (Recall that the machine makes on average 5 defective items per hour) b) What is the probability that at least 6 defective items will be made? c) What is the probability that exactly 13 defective items will be made?
:Among 20 metal parts produced in a machine shop, 5 are defective. If a random sample of three of these metal parts is selected, find: 1. The probability that this sample will contain at least two defectives? 2. The probability that this sample will contain at most one defective? Note: Use hypergeometric probability formula