Solution Found!
Given that x is a hypergeometric random variable, compute
Chapter 4, Problem 63E(choose chapter or problem)
Problem 63E
Given that x is a hypergeometric random variable, compute p(x) for each of the following cases:
a. N = 5, n = 3, r = 3, x = 1
b. N = 9, n = 5, r = 3, x = 3
c. N = 4, n = 2, r = 2, x = 2
d. N = 4, n = 2, r = 2, x = 0
Questions & Answers
QUESTION:
Problem 63E
Given that x is a hypergeometric random variable, compute p(x) for each of the following cases:
a. N = 5, n = 3, r = 3, x = 1
b. N = 9, n = 5, r = 3, x = 3
c. N = 4, n = 2, r = 2, x = 2
d. N = 4, n = 2, r = 2, x = 0
ANSWER:
Step 1 of 4
a.
Given N = 5, n = 3, r = 3, x = 1.
Let x follows hypergeometric distribution, then the probability is given by:
Where
N = Total number of elements.
r = Number of S’s in the N elements.
n = Number of elements.
x = Number of S’s drawn in the n elements.
We find the value of p (x) is given below: