The Masters golf tournament has been held since 1934 for every year (except 1943-1945 due to...

 

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The Masters golf tournament has been held since 1934 for every year (except 1943-1945 due to WWII). For the years 1934-2004, 3472 golfers have "made the cut" and completed all 4 rounds of the tournament. The frequency distribution and histogram of first round scores (among these golfers making the cut) is given below, with a supcrimposed nomal curve (u = 73.54, o= 3.08). Soore Froquency Proporion 63 0.00029 64 2 0.00058 65 0.00173 66 16 0.00461 67 46 0.01325 Histogram 600 68 67 0.01930 69 161 0.04340 70 238 0.06865 71 337 0.09706 500 72 428 0.12327 73 467 0.13450 74 498 0.14343 400 75 397 0.11434 76 293 0.08439 Co unbo0 77 203 0.05847 78 125 0.03600 79 78 0.02247 80 50 0.01440 200 81 28 0.00806 82 17 0.00490 100 83 0.00202 84 0.00202 85 0.00115 86 0.00086 60 65 70 75 80 85 90 0.00029 0.00058 87 88 Round 1 More 0.00000 1. Based on the Normal Distribution with u = 73.54 and o= 3.08, between what two scores would we expect the middle 95% of scores to fall between? 2. What fraction of scores would we expect to be below 70? The Masters golf tournament has been held since 1934 for every year (except 1943-1945 due to WWII). For the years 1934-2004, 3472 golfers have "made the cut" and completed all 4 rounds of the tournament. The frequency distribution and histogram of first round scores (among these golfers making the cut) is given below, with a supcrimposed nomal curve (u = 73.54, o= 3.08). Soore Froquency Proporion 63 0.00029 64 2 0.00058 65 0.00173 66 16 0.00461 67 46 0.01325 Histogram 600 68 67 0.01930 69 161 0.04340 70 238 0.06865 71 337 0.09706 500 72 428 0.12327 73 467 0.13450 74 498 0.14343 400 75 397 0.11434 76 293 0.08439 Co unbo0 77 203 0.05847 78 125 0.03600 79 78 0.02247 80 50 0.01440 200 81 28 0.00806 82 17 0.00490 100 83 0.00202 84 0.00202 85 0.00115 86 0.00086 60 65 70 75 80 85 90 0.00029 0.00058 87 88 Round 1 More 0.00000 1. Based on the Normal Distribution with u = 73.54 and o= 3.08, between what two scores would we expect the middle 95% of scores to fall between? 2. What fraction of scores would we expect to be below 70?