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

28

Explanation:

The binomial coefficient is calculated as:

`nCx=(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=(8!)/(6!(8-6)!)=28`