Compute the Probabilities of Hypergeometric Experiments
-A hypergeometric probability experiment is conducted with the given parameters. Compute the probability of obtaining $x$ successes.
$\mathrm { N } = 120 , \mathrm { n } = 15 , \mathrm { k } = 30 , \mathrm { x } = 2$
A) $0.1511$
B) $0.1559$
C) $0.1587$
D) $0.1715$

Question

Quizplus · Accepted Answer

The hypergeometric probability is calculated using the formula: $\frac{{\binom{k}{x} \binom{N-k}{n-x}}}{\binom{N}{n}}$. Substituting the given values: $\frac{{\binom{30}{2} \binom{90}{13}}}{\binom{120}{15}}$, the probability is approximately 0.1511.

Compute the Probabilities of Hypergeometric Experiments -A Hypergeometric Probability Experiment xxx

Compute the Probabilities of Hypergeometric Experiments
-A Hypergeometric Probability Experiment $x$