Parts coming off an assembly line have a 1% chance of being defective. If3 parts are...
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?
Electric motors coming off four assembly lines are pooled for storage in a common stockroom, and the room contains an equal number of motors from each line. Motors are periodically sampled from that room and tested. It is known that 10% of the motors from line I are defective, 5% of the motors from line II are defective, 3% from line III are defective and 1% from line IV are defective. If a motor is randomly selected from the stockroom...
Suppose that 8% of products on a production line are defective. An inspector randomly selects these products one at a time until he finds a defective product. There are two parts to this problem. a. What is the probability that at least 12 products must be inspected in order to find the first defective product? Start this part of the problem by stating what X is in words and giving its complete distribution (i.e., write "X = ____" and "X...
Approximately 5% of the bolts coming off a production line have serious defects. Two bolts are randomly selected for inspection. Let x be the number of defectives in the sample. What is the probability of P(x=2).
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...
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...
suppose that our concern is with an inspection process where the objective is to inspect machine parts let Ai denote the event that part selected at time it is defective also let X denote the number of parts inspected until a defective part is found and let p denote the probability that a randomly selected part is defective if parts are independent of each other what is P(X=i) ? What distribution describe the random variable X?
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.
Three parts are inspected, and each part has a probability of 0.98 of being correct. Create a probability mass function for the number of correct parts in the inspection.” Give your answer as P(X=0)= ?, P(X=1)=?, etc.. Give the cumulative probability distribution for Question 1. Answer as P(X=0)=?, P(X<=1)=?, etc. (where “<=” means less than or equal to)
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