Seven percent of items made by a certain machine are defective. The items are packed and...
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?
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Seven percent of items made by a certain machine are defective.
The items are packed and...
Suppose that 25 percent of the items produced by a certain machine are defective and 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?
Suppose machine 1 produces items that are independently defective with probability 0.01, machine 2 produces items...
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...
: What is the expected number of defective items made by the machine in an hour?...
: What is the expected number of defective items made by the machine in an hour? What is the variance? (Recall that the machine makes on average 5 defective items per hour) IN THIS CASE, ARE EXPECTED NUMBER AND VARIANCE EQUAL TO 5 OR SOMETHING ELSE ? THANKS
The company has two machines that produce certain items. Machine 1 produces 40 % of the...
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is
A noodle machine in Spumoni’s spaghetti factory makes about 5 percent defective noodles even when properly...
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?
4. Sixteen-ounce boxes of cereal are packed automatically by a machine. The boxes are sometimes overweight...
4. Sixteen-ounce boxes of cereal are packed automatically by a machine. The boxes are sometimes overweight and sometimes underweight. The actual weight in ounces over or under 16 is a continuous random variable X whose probability density function is f(x) Ea-1 <x1, and 0 otherwise. Find the probability that a box of cereal packed by this machine will be between 0.4 ounces underweight and 0.7 ounces overweight.
When a particular machine is functioning properly, 75% of the items produced are non-defective. If eight...
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 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, 80% of the items produced are non-defective. If 3 items are examined, what is the probability that one is defective?
A machine is operating at rate of 10% defective items. If each item is inspected as...
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.
Example: Suppose the machine is watched for three hours. What is the probability that it will...
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?
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...
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is
4. Sixteen-ounce boxes of cereal are packed automatically by a machine. The boxes are sometimes overweight and sometimes underweight. The actual weight in ounces over or under 16 is a continuous random variable X whose probability density function is f(x) Ea-1 <x1, and 0 otherwise. Find the probability that a box of cereal packed by this machine will be between 0.4 ounces underweight and 0.7 ounces overweight.
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