Question

Problem 25 For solving (a), use Table B3 with 95% level of significance For solving (b), (c), (d), (e), you may use a spreadsheet to do the repetitive calculations. Consider the following data on automobile trips in the area of Washington, D.C., for 1970. The measurements are in hundreds of trips per day. 1 Destination Other Total P.W.C 0.2 18.2 19.5 А.С. F.C Origin (1) Arlington Co. (2) Fairfax Co (3) Prince William Co. 34.6 29.0 3.1 45.9 10.0 121.1 86.1 65.2 158.1 38.2 62.8 6.9 Total 66.7 75.1 282.4 Let [X-i be the event "the trip origin is area i"-1,2,3, and let [Y-j be the even "the trip destination is areaj-1,2,3,4. Assume that one can assign probabilities to the events using a relative frequency definition based on the numbers in the above table. Then (a Test f X and Y are independent. (b) Compute Pr[X-i] for i-1, 2, 3. (e) Compute PrtY- forj-1,2,3,4. (d) Compute Pr[Y-jX- for -1,2,3 and j-1,2,3,4 (e) Compute PriX-iY- for -1,2,3 and J-1,2,3,4 using Bayes' theorem American Institute of Planners, (1970) U.S. Government Printing Office, Washington, D.C.

Answer 1

Please find answer in the attached images.

Regards.