XProfan

Window Title upper$("Binomialverteilungsdichte: P(n try, k time success,"+\
" with Einzelerfolgs-probability p)")
'(CL) CopyLeft 2018-04 by P.woodpecker, Wien. OHNE GEWÄHR!
Window Style 24:Window %maxx/4,10 - %maxx/2,%maxy-60

Proc Binom_nCr :parameters N&,k&

    case k&=0:return 1.0:case N&<=0:return 0.0:case (2*k&)>N&:k&=N&-k&
    var P!=1:whileloop k&:P!=P!*(N&-k&+&Loop)/&Loop:endwhile:return P!

endproc

Proc Fac :parameters N&:casenot N&:return 1.0

    if N&>100000:Print " *** FAC() TOO BIG! *** ";:beep:return 0.0:endif

        if N&<171:var p!=1:whileloop N&:p!=p!*&Loop:endwhile:return p!

            else :var s!=0:whileloop N&:s!=s!-lg(&Loop):endwhile:set("decimals",17)
            return st$( round(10^(int(s!)-s!),13))+"e+"+st$(int(-s!) ):endif

        ENDPROC

        Proc BinVtlg :parameters N&,k&,p!

            case (n&<=0) or (k&>n&) or (p!<=0) (p!>=1):return (k&=0)
            case (p!>=1):return (k&>0)
            return Binom_nCr(N&,k&)*p!^k&*(1-p!)^(n&-k&)

        endproc

        Declare p!,n&,k&,su!
        Nochmal:
        CLS:font 2
        print "\n Nötige Vorinformation:"
        print "\n           Erfolgswahrscheinlickeit one Einzelversuchs:":font 0
        print "\n     (z.B. coin p = 50 %; ´6´= 1 Würfelseite of 6 possible: p = 16.6667 %)"
        font 2:print "\n p_Einzel [%] ?: ";
        input p!:case (p!<0) or (p!>100):goto "Nochmal"

        REPEAT

            Print "\n    Gesamtzahl try [0=Restart]?: ";:input n&:case n&=0:BREAK
            print   "      casually amount on Erfolgen ?: ";:input k&
            print   " probability for very these amount: "; 100*BinVtlg(N&,k&,p!/100);" [%]"

            if (N&>1) and (N&<1000):print   "             ... for these Number and More: ";:su!=0

                Whileloop k&,N&:su!=su!+100*BinVtlg(N&,&Loop,p!/100):endwhile:case su!>100:su!=100

                    print su!,"[%]"

                endif

            UNTIL 0

            goto "Nochmal"