Question

In: Statistics and Probability

A production manager knows that 8.5% of components produced by a particular manufacturing process have some...

A production manager knows that 8.5% of components produced by a particular manufacturing process have some defect. Eight of these components, whose characteristics can be assumed to be independent of each other were examined. a. Write the distribution function in terms of ? and x. b. What is the probability that none of these components has a defect? c. What is the probability that two of the components have a defect? d. What is the probability that between two and seven components have a defect? e. What is the probability that at most three of the components have a defect? f. What is the probability that at least two of these components have a defect? g. What is the expected defective components and the coefficient of variation?

Solutions

Expert Solution


Related Solutions

Based on previous experience, the production manager knows that 5% of components produced in one production process have a defect.
Based on previous experience, the production manager knows that 5% of components produced in one production process have a defect. Let's take a sample of six components. a)               The probability that a random variable takes a value less than 3 is: Odgovor b)               The expected value of the random variable is: Odgovor c)               The standard deviation of the random variable is:Odgovor
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for manufacturing, and Michelle Michaels is the marketing manager. Both managers are paid a flat salary and are eligible for a bonus. The bonus is equal to 1 percent of their base salary for every 10 percent profit that exceeds a target. The maximum bonus is 5 percent of salary. Kevin’s base salary is $270,000 and Michelle’s is $330,000. The target profit for this year...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for manufacturing, and Michelle Michaels is the marketing manager. Both managers are paid a flat salary and are eligible for a bonus. The bonus is equal to 1 percent of their base salary for every 10 percent profit that exceeds a target. The maximum bonus is 5 percent of salary. Kevin’s base salary is $290,000 and Michelle’s is $350,000. The target profit for this year...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for manufacturing, and Michelle Michaels is the marketing manager. Both managers are paid a flat salary and are eligible for a bonus. The bonus is equal to 1 percent of their base salary for every 10 percent profit that exceeds a target. The maximum bonus is 5 percent of salary. Kevin’s base salary is $270,000 and Michelle’s is $330,000. The target profit for this year...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for...
Magnolia Manufacturing makes wing components for large aircraft. Kevin Choi is the production manager, responsible for manufacturing, and Michelle Michaels is the marketing manager. Both managers are paid a flat salary and are eligible for a bonus. The bonus is equal to 1 percent of their base salary for every 10 percent profit that exceeds a target. The maximum bonus is 5 percent of salary. Kevin’s base salary is $370,000 and Michelle’s is $430,000. The target profit for this year...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of 0.0001 inch. A random sample of 10 shafts was performed and the average diameter was 0.2545 inch. a. Set up appropriate hypotheses on the mean b. Test these hypotheses using α = 0.05 and α = 0.1. What are your conclusions? c. Find the P-value for this test. d. Construct a...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 5.5 inches. The diameter is known to have a standard deviation of 0.9 inches. A random sample of 30 shafts. (a) Find a 90% confidence interval for the mean diameter to process. (b) Find a 99% confidence interval for the mean diameter to process. (c) How does the increasing and decreasing of the significance level affect the confidence interval? Why? Please explain and...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.218 inches. The diameter is known to have a standard deviation of = 0.0003 inch. A random sample of 40 shafts has an average diameter of 0.2455 inches. a/ Test these hypotheses using α= 0.02, α= 0.05, and α= 0.09 b/ Comparing the data above. Does the results of your hypothesis testing change when you changed α? Explain. Please show your work and...
15. ​If a Canadian manufacturing firm uses some imported inputs in the production process, the most...
15. ​If a Canadian manufacturing firm uses some imported inputs in the production process, the most accurate measure of the rate of protection is the a. ​specific tariff b. ​ad valorem tariff c. ​nominal tariff d. ​effective tariff 16. ​Assume that Mexico is a small country and it imposes a tariff on imported automobiles. As a result of the tariff a. ​the world price of automobiles falls b. ​the world price of autos remains constant c. ​the Mexican price of...
A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective...
A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective liters. A random sample of 300 liters yielded 12 defects. Construct and interpret a 90% confidence interval for the true proportion of defective water liters.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT