Question

Write down the p.m.f of Hyperegeometric distribution and with its two features and examples.

Answer 1

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.