Question

In: Statistics and Probability

Suppose that in a production run of 40 units, 6 are defective. A sample of four...

Suppose that in a production run of 40 units, 6 are defective. A sample of four units is to be randomly drawn from the forty. What is the probability that 2 or more are defective if the samples are drawn: a) With replacement? b) Without replacement? For part b, just show how you would set up the problem – there is no need to perform the actual calculations. Please show steps and explain.

Solutions

Expert Solution


Related Solutions

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample...
Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable XX as the number of defective cameras in the sample. Write the probability distribution for XX. kk P(X=kX=k) What is the expected value of XX?
A production lot of 80 units has 8 defective items. We draw a random sample of...
A production lot of 80 units has 8 defective items. We draw a random sample of 10 units and we want to know: a.- the probability that the sample contains less than 3 defective articles b.- the probability that the sample contains at least 3 good articles c.- the probability that the sample contains more than 6 good articles
A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality...
A manufacturing lot contains 40 items. It is known that 6 items are defective. A quality assurance engineer selects a random sample of 10 items and checks each to see if it is defective. i. What is the mean and standard deviation of the number of defective items that she will sample. [4] ii. What is the probability that she observes two or fewer defective items. A road surface is being inspected for potholes. The number of potholes per kilometre...
2. Suppose one in every four new personal computers is defective. The defective ones, however, cannot...
2. Suppose one in every four new personal computers is defective. The defective ones, however, cannot be identified except by those who own them. Consumers are risk neutral and value nondefective at $2000 each. Computers do not depreciated physically with use. If used computers sell for $600, how much do new ones sell for?
A shipment of 9 microwave ovens contains 3 defective units. A restaurant buys four of these...
A shipment of 9 microwave ovens contains 3 defective units. A restaurant buys four of these units. What is the probability of the restaurant buying at least three non-defective​ units?
From a shipment of 75 transistors, 5 of which are defective, a sample of 6 transistors...
From a shipment of 75 transistors, 5 of which are defective, a sample of 6 transistors is selected at random. (a) In how many different ways can the sample be selected? (b) How many samples contain exactly 3 defective transistors? (c) How many samples do not contain any defective transistors?
Suppose a sample has a sample mean of 53, a sample size of 40, and the...
Suppose a sample has a sample mean of 53, a sample size of 40, and the population has a standard deviation of 4. We want to calculate a 99% confidence interval for the population mean. The critical Z* in this case is 2.576. The confidence interval is (to one decimal place), a. (42.7, 63.3) b. (48.8, 57.2) c. (49, 57) d. (51.4, 54.6) e. (52.4, 53.6) f. (52.7, 53.3)
a. Distinguish between the short run and the long run production function. Discuss the four factors...
a. Distinguish between the short run and the long run production function. Discuss the four factors of production elaborately. Provide at least 5 examples of each.   b. Bangladesh a labor intensive country. So the labor is cheaper than other factors of production. Consider this case: The number of Business graduate is higher than the Doctor. Consequently, the price or wage of Business graduate will be lower than the wage of Doctor. That discourages the prospective student to be a Business...
Suppose a sample of 382 floppy disks is drawn. Of these disks, 363 were not defective....
Suppose a sample of 382 floppy disks is drawn. Of these disks, 363 were not defective. Using the data, construct the 90% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
A random sample of 200 printed circuits boards contains 15 defective or nonconforming units. Estimate the...
A random sample of 200 printed circuits boards contains 15 defective or nonconforming units. Estimate the process fraction nonconforming. a. Test the hypothesis that the true fraction nonconforming in this process is 0.10. b. Construct a 95% confidence interval on the true fraction nonconforming in the production process.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT