Luis A. Afonso
Posts:
4,758
From:
LIsbon (Portugal)
Registered:
2/16/05


Re: Help with probability&stat problem
Posted:
Jun 15, 2007 4:53 AM


Prob. that X belongs to an interval
A routine (BIN2) for the evaluation of the probability that X~Bin (p, N) be inside [a, b] i.e. ________p ( a<=X<=b)__________b>=a is presented below. Note that if b=a then we get p(X=a). The routine inputs are p, N , b, a.
1) _______p=.7, N=7, b=7 , a=0 _RESULT: 1.0000000000D+000 (I think that, this time, Jack?s *sense of humour * shall not be triggered, surely).
2)_______p=.7, N=7, b=6, a=1 _R: 9.1742700000D001 (or 0.917427 evidently).
______Licas
REM "BIN2" CLS DEFDBL AZ PRINT " b >= a " PRINT " p(a<=X<=b) = F(b)F(a1) " INPUT " p , N "; p, n INPUT " b= "; w(1) INPUT " a= "; a: w(2) = a  1 r = p / (1  p) FOR u = 1 TO 2 ante = (1  p) ^ n: s = ante FOR j = 0 TO n  1 IF j > w(u)  1 THEN GOTO 10 post = ante * (n  j) / (j + 1) * r s = s + post ante = post NEXT j 10 w(u) = s NEXT u PRINT " p(a<=X<=b) = F(b)F(a1) "; IF a = 0 THEN w(2) = 0 PRINT USING "##.##########^^^^^"; w(1)  w(2) COLOR 7 END

