A machine produces an average of 10% defective bolts. A batch is accepted if a sample...
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machine produces an average of 10% defective bolts. A batch is
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The quality-control inspector of a production plant will reject a batch of automobile batteries if three...
The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken from the batch. Suppose the batch contains 7% defective batteries. What is the probability that the batch will be accepted?
2. A quality control inspection system requires that from each batch of items a sample of...
2. A quality control inspection system requires that from each batch of items a sample of 10 is selected and tested. If 2 or more of the sample are defective the whole batch is rejected. If the probability of an item being defective is 0.05 (i.)What is the probability of 2 defectives in the sample? (6 points) (ii.)What is the probability of the batch being rejected? (6 points)
64. A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the...
64. A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the probability of finding (a) At least one defective machine in a random group of five machines? (b) At least two defective machines in a random group of 10 machines? 4 Chapter 5 General Counting Methods for Arrangements and Selections (c) The first defective machine to be the kth machine taken apart for inspection in a random sequence of machines? (d) The last defective machine...
A bin of 50 parts contains 5 that are defective. A sample of 10 parts is...
A bin of 50 parts contains 5 that are defective. A sample of 10 parts is selected at random, without replacement. (a) How many different samples of size 10 are there that contain at least three defective parts? (b) How many ways to obtain a sample of 10 parts from the bin of 50? (c) What is the probability of obtaining at least three defectives in a sample of 10 parts?
A sample of 10 is taken from a day's output of a machine that produces parts...
A sample of 10 is taken from a day's output of a machine that produces parts of which 5% are defective. A full inspection of a day's production is conducted whenever the sample of 10 gives 2 or more defective parts. Find the probability of a full inspection? What assumptions do you need to make?
a) A machine that produces stampings for car engines is not working properly and producing 15%...
a) A machine that produces stampings for car engines is not working properly and producing 15% defectives. The defective and no defective stampings proceed from the machine on a random manner. If 4 stampings are randomly collected, find the probability that 2 of them are defective. b) A person sells 5 cars. The probability that each car will rise in price is 0.6. What is the probability that three out of the five cars will rise in price?
A random sample of 350 bolts from machine A contained 31 defective bolts, while an independently...
A random sample of 350 bolts from machine A contained 31 defective bolts, while an independently chosen, random sample of 375 balts from machine B contained 30 defective bolts. Let P, be the proportion of the population of all bolts from machine A that are defective, and let py be the proportion of the population of all bolts from machine B that are defective. Find a 95% confidence interval for P-P2. Then complete the table below. Carry your intermediate computations...
3. A factory produces screws in batches of 100,000. The probability that a screw is defective...
3. A factory produces screws in batches of 100,000. The probability that a screw is defective is 0.01%. Assume that defects occur independently of each other. (a) Approximate the probability that 15 or more screws in a batch are defective using the normal approximation to the binomial distribution. (b) Approximate the probability that 3 or fewer screws in a batch are defective using the normal approximation to the binomial distribution. (c) Approximate the probability that 3 or fewer screws in...
A batch of n = 50 items contains m = 10 defective items. Suppose k =...
A batch of n = 50 items contains m = 10 defective items. Suppose k = 10 items are selected at random and tested. How many items, k, do we need to sample, in order to get at least one defective item, with probability greater than 0.5?
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5...
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
64. A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the probability of finding (a) At least one defective machine in a random group of five machines? (b) At least two defective machines in a random group of 10 machines? 4 Chapter 5 General Counting Methods for Arrangements and Selections (c) The first defective machine to be the kth machine taken apart for inspection in a random sequence of machines? (d) The last defective machine...
A sample of 10 is taken from a day's output of a machine that produces parts of which 5% are defective. A full inspection of a day's production is conducted whenever the sample of 10 gives 2 or more defective parts. Find the probability of a full inspection? What assumptions do you need to make?
A random sample of 350 bolts from machine A contained 31 defective bolts, while an independently chosen, random sample of 375 balts from machine B contained 30 defective bolts. Let P, be the proportion of the population of all bolts from machine A that are defective, and let py be the proportion of the population of all bolts from machine B that are defective. Find a 95% confidence interval for P-P2. Then complete the table below. Carry your intermediate computations...
3. Suppose a batch of 50 items contains 4 defective ones, and a sample of 5 items is selected at random from the batch. Let X denote the number of defective items in the sample. (a) What is the name of the distribution of X? (b) Find the probability mass function for X. You may write this as a function or as a chart. If you write it as a function, also give the set of X values where the...
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