(continued from previous example)
32 * 33 *........................................................................ 34 * 35 *GHISTO BSIMUL,X,CUR+1 / X=-0.5(1)13.5 FIT=Bin(13,1/3) 36 *
32 * 33 *........................................................................ 34 * 35 *GHISTO BSIMUL,X,CUR+1 / X=-0.5(1)13.5 FIT=Bin(13,1/3) 36 *Frequency distribution of X in BSIMUL: N=100000 37 * 38 *Class midpoint f % Sum % e e f X^2 39 * 0.0 522 0.5 522 0.5 513.8 513.8 522 0.1 40 * 1.0 3462 3.5 3984 4.0 3339.9 3339.9 3462 4.5 41 * 2.0 9957 10.0 13941 13.9 10019.6 10019.6 9957 0.4 42 * 3.0 18100 18.1 32041 32.0 18369.2 18369.2 18100 3.9 43 * 4.0 22989 23.0 55030 55.0 22961.5 22961.5 22989 0.0 44 * 5.0 20749 20.7 75779 75.8 20665.3 20665.3 20749 0.3 45 * 6.0 13832 13.8 89611 89.6 13776.9 13776.9 13832 0.2 46 * 7.0 6841 6.8 96452 96.5 6888.4 6888.4 6841 0.3 47 * 8.0 2595 2.6 99047 99.0 2583.2 2583.2 2595 0.1 48 * 9.0 785 0.8 99832 99.8 717.5 717.5 785 6.3 49 * 10.0 145 0.1 99977 100.0 143.5 143.5 145 0.0 50 * 11.0 21 0.0 99998 100.0 19.6 51 * 12.0 2 0.0 100000 100.0 1.6 52 * 13.0 0 0.0 100000 100.0 0.1 21.3 23 0.1 53 *Mean=4.337860 Std.dev.=1.706432 54 *Fitted by BIN(13,0.3333) distribution 55 *Chi-square=16.40 df=11 P=0.1268 56 * 57 *At least 10 successes in 13 trials occurs 145+21+2=168 times, and thus 58 *their proportion is 168/N=0.00168 59 *This corresponds to the theoretical probability (see the next example). 60 *