The business school at Wassamatta U. receives a large number of applicants to its undergraduate honors program in economics. This photo shows the GPA's of a sample of 260 applicants that have applied to the program in the last several years. From the data the mean GPA is x = 3.13 with standard deviation s = 0.395 1) If a normal model N(3.13,0.395) is an appropriate model for the GPA's of all applicants to the undergraduate honors program in economics, what is the probability that an applicant's GPA is 3.25 or greater? Use three decimal places. 2) what is the actual proportion (a decimal number between 0 and 1) of GPA's in the data that are 3.25 or greater? GPA   bins 3.24   2.375 3.63   2.5 3.35   2.625 2.93   2.75 3.26   2.875 3.02   3 3.75   3.125 3.48   3.25 2.77   3.375 2.78   3.5 3.18   3.625 3.58   3.75 2.96   3.875 2.76   4 3.32     3.03     3.18     3.07     3.10     2.88     2.40     3.19     3.16     3.01     2.99     2.81     2.60     2.56     3.36     2.92     3.36     3.60     2.92     2.52     3.44     2.93     3.76     2.30     3.47     2.60     3.72     3.13     3.33     3.66     3.16     3.60     3.40     2.95     3.21     2.85     3.20     3.23     3.36     2.82     2.95     3.18     2.59     3.22     3.75     3.80     3.24     2.94     3.57     2.93     3.55     3.68     3.81     3.70     2.91     3.47     3.60     2.63     3.54     2.99     2.83     3.33     3.03     3.79     3.55     3.38     3.76     2.73     2.73     3.58     2.83     2.78     2.88     4.00     3.25     2.76     2.68     3.16     2.64     3.27     3.52     3.60     3.80     3.22     2.94     3.85     3.15     2.60     2.80     3.45     2.85     2.54     3.46     2.86     2.97     3.62     2.66     3.69     3.67     3.25     3.64     3.61     3.70     2.89     3.06     3.69     3.17     3.24     3.03     3.52     2.38     2.76     2.86     3.65     2.44     2.99     2.67     2.35     2.60     3.29     3.94     2.74     3.69     3.41     2.66     3.91     2.99     3.24     2.66     3.30     3.11     3.72     3.38     3.41     3.46     3.34     3.25     3.32     2.64     2.48     3.45     2.86     2.92     2.90     2.88     3.60     3.96     3.21     3.95     2.46     3.18     2.51     3.42     2.48     3.12     2.94     3.19     3.25     3.51     3.84     3.39     2.72     2.88     3.29     3.55     3.15     3.82     3.27     3.20     3.03     2.62     3.56     3.17     2.56     2.68     3.76     3.41     3.46     2.43     3.93     2.30     3.10     3.19     2.68     2.44     3.47     2.50     2.64     3.02     2.51     2.96     2.53     3.26     3.35     3.41     2.76     2.96     3.23     3.41     2.58     2.74     3.41     2.79     3.97     2.60     3.01     3.27     2.82     3.90     2.69     3.38     3.16     2.66     2.85     3.13     3.49     3.06     2.33     3.30     3.36     2.79     2.88     2.28     3.10     3.08     3.08     3.12     3.09     3.12     3.07     3.04     3.06     3.05     3.03     3.06     3.10     3.07     3.07     3.04     3.12     3.11     3.01     3.12     3.09     3.10     3.06

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The business school at Wassamatta U. receives a large number of applicants to its undergraduate honors program in economics. This photo shows the GPA's of a sample of 260 applicants that have applied to the program in the last several years. From the data the mean GPA is x = 3.13 with standard deviation s = 0.395

1) If a normal model N(3.13,0.395) is an appropriate model for the GPA's of all applicants to the undergraduate honors program in economics, what is the probability that an applicant's GPA is 3.25 or greater? Use three decimal places.

2) what is the actual proportion (a decimal number between 0 and 1) of GPA's in the data that are 3.25 or greater?

GPA   bins
3.24   2.375
3.63   2.5
3.35   2.625
2.93   2.75
3.26   2.875
3.02   3
3.75   3.125
3.48   3.25
2.77   3.375
2.78   3.5
3.18   3.625
3.58   3.75
2.96   3.875
2.76   4
3.32    
3.03    
3.18    
3.07    
3.10    
2.88    
2.40    
3.19    
3.16    
3.01    
2.99    
2.81    
2.60    
2.56    
3.36    
2.92    
3.36    
3.60    
2.92    
2.52    
3.44    
2.93    
3.76    
2.30    
3.47    
2.60    
3.72    
3.13    
3.33    
3.66    
3.16    
3.60    
3.40    
2.95    
3.21    
2.85    
3.20    
3.23    
3.36    
2.82    
2.95    
3.18    
2.59    
3.22    
3.75    
3.80    
3.24    
2.94    
3.57    
2.93    
3.55    
3.68    
3.81    
3.70    
2.91    
3.47    
3.60    
2.63    
3.54    
2.99    
2.83    
3.33    
3.03    
3.79    
3.55    
3.38    
3.76    
2.73    
2.73    
3.58    
2.83    
2.78    
2.88    
4.00    
3.25    
2.76    
2.68    
3.16    
2.64    
3.27    
3.52    
3.60    
3.80    
3.22    
2.94    
3.85    
3.15    
2.60    
2.80    
3.45    
2.85    
2.54    
3.46    
2.86    
2.97    
3.62    
2.66    
3.69    
3.67    
3.25    
3.64    
3.61    
3.70    
2.89    
3.06    
3.69    
3.17    
3.24    
3.03    
3.52    
2.38    
2.76    
2.86    
3.65    
2.44    
2.99    
2.67    
2.35    
2.60    
3.29    
3.94    
2.74    
3.69    
3.41    
2.66    
3.91    
2.99    
3.24    
2.66    
3.30    
3.11    
3.72    
3.38    
3.41    
3.46    
3.34    
3.25    
3.32    
2.64    
2.48    
3.45    
2.86    
2.92    
2.90    
2.88    
3.60    
3.96    
3.21    
3.95    
2.46    
3.18    
2.51    
3.42    
2.48    
3.12    
2.94    
3.19    
3.25    
3.51    
3.84    
3.39    
2.72    
2.88    
3.29    
3.55    
3.15    
3.82    
3.27    
3.20    
3.03    
2.62    
3.56    
3.17    
2.56    
2.68    
3.76    
3.41    
3.46    
2.43    
3.93    
2.30    
3.10    
3.19    
2.68    
2.44    
3.47    
2.50    
2.64    
3.02    
2.51    
2.96    
2.53    
3.26    
3.35    
3.41    
2.76    
2.96    
3.23    
3.41    
2.58    
2.74    
3.41    
2.79    
3.97    
2.60    
3.01    
3.27    
2.82    
3.90    
2.69    
3.38    
3.16    
2.66    
2.85    
3.13    
3.49    
3.06    
2.33    
3.30    
3.36    
2.79    
2.88    
2.28    
3.10    
3.08    
3.08    
3.12    
3.09    
3.12    
3.07    
3.04    
3.06    
3.05    
3.03    
3.06    
3.10    
3.07    
3.07    
3.04    
3.12    
3.11    
3.01    
3.12    
3.09    
3.10    
3.06    
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