STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 15.1, Problem 1JC
a.
To determine
Find the
b.
To determine
Find the
c.
To determine
Explain the meaning of the expected cost of repair.
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 15 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 15.1 - 1. One of the authors took his minivan in for...Ch. 15.3 - 2. Suppose the time it takes a customer to get and...Ch. 15 - Prob. 1ECh. 15 - 2. Caffeinated A coffee shop tracks sales and has...Ch. 15 - 3. Oranges again What is the standard deviation...Ch. 15 - 4. Caffeinated again What is the standard...Ch. 15 - 5. Salary An employer pays a mean salary for a...Ch. 15 - 6. Golf scores A golfer keeps track of his score...Ch. 15 - 13. Battery The life span of a calculator battery...Ch. 15 - 14. Ketchup An automatic filling machine in a...
Ch. 15 - 15. Expected value Find the expected value of each...Ch. 15 - 16. Expected value Find the expected value of each...Ch. 15 - 17. Pick a card, any card You draw a card from a...Ch. 15 - 18. You bet! You roll a fair die. If it comes up a...Ch. 15 - 19. Kids A couple plans to have children until...Ch. 15 - 20. Carnival A carnival game offers a $100 cash...Ch. 15 - 21. Software A small software company bids on two...Ch. 15 - Prob. 16ECh. 15 - Prob. 17ECh. 15 - Prob. 18ECh. 15 - Prob. 19ECh. 15 - 26. The die Find the standard deviation of the...Ch. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - 30. Red lights A commuter must pass through five...Ch. 15 - 31. Defects A consumer organization inspecting new...Ch. 15 - 32. Insurance An insurance policy costs $100 and...Ch. 15 - Prob. 27ECh. 15 - Day trading An option to buy a stock is priced at...Ch. 15 - Prob. 29ECh. 15 - 36. Contracts Your company bids for two contracts....Ch. 15 - Prob. 31ECh. 15 - Prob. 32ECh. 15 - Prob. 33ECh. 15 - Prob. 34ECh. 15 - Random variables Given independent random...Ch. 15 - 42. Random variables Given independent random...Ch. 15 - Prob. 37ECh. 15 - 44. Garden A company selling vegetable seeds in...Ch. 15 - Prob. 39ECh. 15 - Stop! Find the mean and standard deviation of the...Ch. 15 - Tickets A delivery company’s trucks occasionally...Ch. 15 - Donations Organizers of a televised fundraiser...Ch. 15 - 49. Fire! An insurance company estimates that it...Ch. 15 - Prob. 45ECh. 15 - 52. Pets The American Veterinary Association...Ch. 15 - Prob. 47ECh. 15 - More pets You’re thinking about getting two dogs...Ch. 15 - 55. Medley In the 4 × 100 medley relay event, four...Ch. 15 - Prob. 50ECh. 15 - Prob. 51ECh. 15 - 58. Bike sale The bicycle shop in Exercise 56 will...Ch. 15 - 59. Coffee and doughnuts At a certain coffee shop,...Ch. 15 - Prob. 54E
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