The Hypergeometric distribution is:
where x = 0, 1, 2,... min(a,n);
Range: 0,1,2,.... min (a,n); 2. a, b and n are the parameters;
Hypergeometric distribution tends to Binomial distribution when:
1. a is large ie.a → ∞
2. b is large ie. b → ∞ and
3. \(\frac{a}{a+b}\) = p is fixed.
Ex:- Number of vegetarians in an office of 18 vegetarians and 12 non vegetarians; number of apples selected from a bag containing 20 oranges and 10 apples.