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A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president.


What is the binomial coefficient of this study? Write the answer as a number, like this: 42.

Respuesta :

Answer:

28

Step-by-step explanation:

The binomial coefficient is calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

It means that there are nCx ways to select x elements from a group of n elements.

So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:

[tex]8C6=\frac{8!}{6!(8-6)!}=28[/tex]

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