Discussion:
Q1. Assume that each energy type is produced by a process that is normally distributed and calculate the population mean and SD from the entire data set (1980 -2005).
Q2. Determine the probability that next year's production will exceed production in 1990 for each type.
| Year |
Coal 2 |
Natural Gas 3 |
Crude Oil 4 |
Nuclear Electric Power |
Renewable
Energy 5 |
Total Energy Production |
| 1980 |
0.0 |
70.6 |
248.7 |
182.6 |
90.0 |
592.0 |
| 1981 |
0.0 |
56.4 |
201.7 |
159.4 |
83.7 |
501.1 |
| 1982 |
0.0 |
41.5 |
148.6 |
213.9 |
105.5 |
509.6 |
| 1983 |
0.0 |
35.6 |
113.0 |
161.4 |
94.6 |
404.6 |
| 1984 |
0.0 |
23.7 |
83.9 |
261.1 |
112.8 |
481.5 |
| 1985 |
0.0 |
20.1 |
66.5 |
249.2 |
114.6 |
450.3 |
| 1986 |
0.0 |
16.5 |
54.4 |
233.1 |
118.9 |
423.0 |
| 1987 |
0.0 |
15.2 |
48.0 |
196.0 |
108.8 |
368.0 |
| 1988 |
0.0 |
14.0 |
44.9 |
277.8 |
114.5 |
451.1 |
| 1989 |
0.0 |
13.9 |
42.3 |
221.4 |
233.6 |
511.1 |
| 1990 |
0.0 |
11.7 |
32.9 |
230.5 |
200.2 |
475.3 |
| 1991 |
0.0 |
8.4 |
27.4 |
215.0 |
214.4 |
465.2 |
| 1992 |
0.0 |
11.3 |
31.5 |
263.0 |
232.3 |
538.0 |
| 1993 |
0.0 |
11.7 |
32.5 |
271.9 |
218.3 |
534.4 |
| 1994 |
0.0 |
10.8 |
35.3 |
278.9 |
216.9 |
541.9 |
| 1995 |
0.0 |
9.3 |
33.0 |
302.0 |
221.5 |
565.8 |
| 1996 |
0.0 |
8.9 |
36.5 |
267.5 |
241.6 |
554.4 |
| 1997 |
0.0 |
8.8 |
37.0 |
241.0 |
232.8 |
519.6 |
| 1998 |
0.0 |
8.4 |
34.6 |
326.4 |
207.1 |
576.6 |
| 1999 |
0.0 |
8.6 |
28.4 |
329.5 |
206.1 |
572.6 |
| 2000 |
0.0 |
9.0 |
26.8 |
336.8 |
197.2 |
569.8 |
| 2001 |
0.0 |
7.9 |
25.7 |
330.0 |
160.7 |
524.2 |
| 2002 |
0.0 |
4.9 |
21.2 |
351.8 |
177.3 |
555.3 |
| 2003 |
0.0 |
4.6 |
18.9 |
322.8 |
191.9 |
538.2 |
| 2004 |
0.0 |
4.4 |
16.7 |
325.5 |
183.5 |
530.0 |
| 2005 |
0.0 |
3.7 |
15.0 |
300.1 |
192.7 |
511.4 |