Using your results for the mean and variance of the driving performance index (DPI) of professional golfers in from problem set 1:

a. Find an interval that is guaranteed to contain the DPI of 75% of these golfers.

mean: 1.92675 variance: 0.4358892

DPI list

3.58

3.48

3.27

3.18

2.82

2.74

2.74

2.55

2.27

2.22

2.21

2.21

2.2

2.02

1.92

1.9

1.85

1.89

1.76

1.76

1.75

1.71

1.58

1.56

1.52

1.5

1.49

1.43

1.42

1.4

1.4

1.4

1.37

1.36

1.34

1.31

1.3

1.26

1.23

1.17