Question

PLEASE HELP ME

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.

Answer 1

Answer:

28

Step-by-step explanation:

The binomial coefficient is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

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:

$8C6=\frac{8!}{6!(8-6)!}=28$