statistics for business and economics 11th edition chapter 4 - exercise solution

Statistics for business and economics 11th edition chapter 4 - exercise solution

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Introduction to Probability Chapter 4 Introduction to Probability Solutions: 4. a. H T H T H T H T H T H T H T (H,H,H) (H,H,T) (H,T,H) (H,T,T) (T,H,H) (T,H,T) (T,T,H) (T,T,T) 1st Toss 2nd Toss 3rd Toss b. Let: H be head and T be tail (H,H,H) (T,H,H) (H,H,T) (T,H,T) (H,T,H) (T,T,H) (H,T,T) (T,T,T) c. The outcomes are equally likely, so the probability of each outcomes is 1/8. 6. P (E 1 ) = .40, P (E 2 ) = .26, P (E 3 ) = .34 The relative frequency method was used. 7. No. Requirement (4.4) is not satisfied; the probabilities do not sum to 1. P (E 1 ) + P (E 2 ) + P (E 3 ) + P (E 4 ) = .10 + .15 + .40 + .20 = .85 11. a. Total drivers = 858 + 228 = 1086 P (Seatbelt) = 858 .79 1086 = or 79% b. Yes, the overall probability is up from .75 to .79, or 4%, in one year. Thus .79 does exceed his .78 expectation. c. Northeast 148 .74 200 = Midwest 162 .75 216 = South 296 .80 370 = West 252 .84 300 = The West with .84 shows the highest probability of use. d. Probability of selection by region: Northeast 200 .184 1086 = Midwest 216 .200 1086 = South 370 .340 1086 = West 300 .286 1086 = South has the highest probability (.34) and West was second (.286). 4 - 1

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Chapter 4 e. Yes, .34 for South + .286 for West = .626 shows that 62.6% of the survey came from the two highest usage regions. The .79 probability may be high. If equal numbers for each region, the overall probability would have been roughly .74 .75 .80 .84 .7825 4 + + + = Although perhaps slightly lower, the .78 to .79 usage probability is a nice increase over the prior year. 16.
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This note was uploaded on 02/01/2011 for the course STAT 101 taught by Professor Oba during the Fall '10 term at Athens University of Econ and Bus.

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Statistics for business and economics 11th edition chapter 4 - exercise solution

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