To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the _____ probability distribution.

Respuesta :

Answer:

[tex]Hypergeometric \ Probability \ Distribution[/tex]

Step-by-step explanation:

The hyper-geometric probability distribution has the following conditions:

-A sample size is selected [tex]without \ replacement[/tex] from population of [tex]n[/tex] elements.

-In the population, [tex]k[/tex] items can be classified as successes and [tex]N-k[/tex] as failures.

The distribution is defined as

[tex]h(x; N, n, k) = [ kCx ] [ N-kCn-x ] / [ NCn ][/tex]

Mean of distribution is[tex]n * k / N[/tex]

Variance [tex]n k ( N - k ) ( N - n ) / [ N2 ( N - 1 ) ][/tex]

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