Answer:
(a) The value of P (X = 2) is 0.3571.
(b) The value of P (X ≤ 1) is 0.5952.
Step-by-step explanation:
A Hypergeometric distribution is used to describe the probability distribution of <em>x</em> successes in <em>n</em> random draws from a population of size <em>N </em>that contains exactly <em>r</em> items that are considered as success. In this distribution each draw results in either a success or a failure.
The probability mass function of Hypergeometric distribution is:
Given:
N = 9
r = 3
n = 4
(a)
Compute the value of P (X = 2) as follows:
Thus, the value of P (X = 2) is 0.3571.
(b)
Compute the value of P (X ≤ 1) as follows:
P (X ≤ 1) = P (X = 0) + P (X = 1)
Thus, the value of P (X ≤ 1) is 0.5952.