The probability that a certain device manufactured by Acme Corporation will be defective is 0.07. (a)...
Devices produced by a certain company will be defective with a probability of 0.2 independently of each other. (a) A box of 8 of these devices has just been delivered. What is the probability that at least two of them are defective? (5 marks) (b) A warehouse contains 1000 of these devices. Use the central limit theorem to approximate the probability that more than 220 of the devices in the warehouse are defective. (8 marks)
A specific type of medical device, once manufactured, is tested and 3% of the devices are found to have defective parts. Let X = the number of medical devices with defective parts in a random sample of size n = 20. (i) Determine the probability that 2 or more of the devices are defective. (ii) Determine the probability that between 1 and 4 (inclusive) devices are defective.
Problem 6. A device is tested. If it is found to be defective, then two more devices from the same lot are tested. However, if the first device is found to be okay, then only one additional item is tested. Assume that the devices are independent and that they come from, a batch in which 10% are defective. LetX denote the random variable that gives the total number of defective devices encountered during this testing procedure. (a) Draw a tree...
Suppose 20% of the engines manufactured on a certain assembly line are defective. If engines are randomly selected one at a time and tested. a. Find the probability that first defective engine is found on the third trial. b. Find the mean and variance of the number of the trial on which the first defective engines is found.
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...
4) A certain type of electrical fuse has a 0.02 probability of being defective. In a random sample of 1000 such fuses, what is the probability that 25 or less are defective? What number of defectives would be significantly high? Why?
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
6. Suppose that 10% of all the parts manufactured on a certain assembly line are defective. The line produces new part every 7 min, and each new part is tested. The assembly line will be stopped for inspection when 10 defective parts have been found. what is the probability that the line will be stopped before 8 hours?
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...