Doncouse_Jeremy_Week3

# Doncouse_Jeremy_Week3 - Jeremy Doncouse MGMT313 Week 3...

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Jeremy Doncouse 25 MGMT313 Week 3 Problems 4, 11, 19, 21, 22, 25, 27, 31, 35, 37 4 Consider the experiment of tossing a coin three times. a. Develop a tree diagram for the experiment. 27 31 b. List the experimental outcomes. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT c. What is the probability for each experimental outcome? 1/8 11 Driver Using Seat Belt? Region Yes No Northwest 148 52 Midwest 162 54 South 296 74 West 252 48 Totals 858 228 35 a. For the U.S., what the probability that a driver is using a seat belt? b. Dr. Jeffrey Runge would be please because he expected 0.78 but the probability increase to 0.79. c. Probability of seat belt usage by region? What region has the highest usage? Driver Using Seat Belt? Probability Region Yes No Northwest 148 52 0.74 Midwest 162 54 0.75 South 296 74 0.80 79 . 0 1086 / 858 1086 228 858 = = +

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West 252 48 0.84 The West has the highest. Totals 858 228 0.79 d. What proportion of drivers in the sample came from each region? What region had the most drivers? The second most? Driver Using Seat Belt? Proportion Region Yes No Northwest 148 52 0.18 Midwest 162 54 0.20 South 296 74 0.34 The most West 252 48 0.28 The second most Totals 858 228 1086 1.00 37 e. Assuming the total number of drivers in each region is the same, do you see any reason why the probability estimate in part (a) might be too high? Explain. Yes, because the regions with the highest proportion also have the highest probability
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Doncouse_Jeremy_Week3 - Jeremy Doncouse MGMT313 Week 3...

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