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Day 4: Binomial Distribution I
Day 4: Binomial Distribution I
+ 0 comments JS
function range(a,b) { let prd = a,i = a; while (i++< b) { prd*=i; } return prd; } function comb(n, r) { if (n==r || r==0) return 1; else { r=(r < n-r) ? n-r : r; return range(r+1, n)/range(1,n-r); } } let value = input.split(' '); let p = parseFloat(value[0])/(parseFloat(value[1]) + parseFloat(value[0])); let q = 1-p, b =[]; for(let i = 3; i <= 6; i++) { let f = comb(6, i) * Math.pow(p, i) * Math.pow(q, (6 - i)); b.push(f); } console.log((b.reduce((sum, a) => sum + a, 0)).toFixed(3));
+ 0 comments I did the following with scipy but it is not accepted , is this because for some reason we cannot use scipy ?
from scipy.stats import binom sum=0 for i in range (3,6+1): sum+=binom.pmf(i,6,1-(1/2.09)) #print(binom.pmf(i,6,1-(1/2.09)))
print(round(sum,3))
+ 0 comments import math
binomial = lambda x,n,q,p : math.comb(n, x)*(p**x)(q*(n - x))
rb = 1.09 rg = 1
p = rb/(rb + rg) q = 1 - p
n = 6
P = [binomial(x, n, q, p) for x in range(3,7)]
print(round(sum(P),3))
+ 0 comments static void Main(String[] args) { var zs = System.Console.ReadLine().Split(' '); double b = double.Parse(zs[0]); double g = double.Parse(zs[1]); int bs = 3; int chs = 6; double sum = 0; double pb = b / (g + b); double pg = 1.0 - pb; for(int i = bs;i<=chs;i++){ sum += comb(chs, i) * Math.Pow(pb,i) * Math.Pow(pg, (chs-i)); } System.Console.WriteLine(Math.Round(sum,3).ToString("f3")); } static double comb(double n, double r){ var nf = f(n); var rf = f(r); var nrf = f(n-r); return nf / ( rf * (nrf)); } static double f(double i) { if (i < 2){ i = 1; } double l = i; while(i-->1){ l = l*i; } return l; }
+ 0 comments import math boys, girls = map(float, input().split()) p_boys = boys/(boys + girls) p_girls = 1 - p_boys b = [] n_children = 6 n_boys = 3 for i in range(n_boys, n_children+1): answer = math.comb(6, i) * (p_boys ** i) * (p_girls ** (n_children - i)) b.append(answer) print(round(sum(b), 3))
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