Question

Suppose N = 12 and r = 4. Compute the hypergeometric probabilities for the following values of n and x. If the calculations are not possible, please select "not possible" from below drop-downs, and enter 0 in fields.

a. n = 3, x = 2 (to 4 decimals).

b. n = 2, x = 2 (to 4 decimals).

c. n = 3, x = 0 (to 4 decimals).

d. n = 6, x = 3 (to 4 decimals).

e. n = 5, x = 5 (to 4 decimals).

Answer 1

Solution:

Given:

N = 12

r = 4

We have to compute hypergeometric probabilities for the following values of n and x.

Part a)  n = 3, x = 2

We use following combination formula:

Thus

and

Thus

Part b) n = 2, x = 2

and

thus

Part c) n = 3, x = 0

where

Thus

Part d)  n = 6, x = 3

where

Thus

Part e) n = 5, x = 5

Since r = 4 , so it is not possible to get x = 5 from r = 4.

thus answer is : not possible and 0.