Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260788785
Author: Lind, Douglas
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 8, Problem 20CE

The Medical Assurance Company is investigating the cost of a routine office visit to family-practice physicians in the Rochester, New York, area. The following is a list of 39 family-practice physicians in the region. Physicians are to be randomly selected and contacted regarding their charges. The 39 physicians have been coded from 00 to 38. Also noted is whether they are in practice by themselves (S), have a partner (P), or are in a group practice (G).

Chapter 8, Problem 20CE, The Medical Assurance Company is investigating the cost of a routine office visit to family-practice

  1. a. The random numbers obtained from Appendix B.4 are 31, 94, 43, 36, 03, 24, 17, and 09. Which physicians should be contacted?
  2. b. Select a random sample of four physicians using the random numbers of Appendix B.4.
  3. c. Using systematic random sampling, every fifth physician is selected starting with the fourth physician in the list. Which physicians will be contacted?
  4. d. Select a sample that includes two physicians in solo practice (S), two in partnership (P), and one in group practice (G). Explain your procedure.
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
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