In a large population, about [tex]$45 \%$[/tex] of people prefer tea over coffee. A researcher takes a random sample of 13 people and surveys whether they prefer tea over coffee.
Use the binomial distribution to compute the probability that exactly 6 of the people in the sample prefer tea over coffee.
Identify the following information required to find the probability of people who prefer tea over coffee.
Provide your answer below:
[tex]\[ n = \square \text{ trials} \][/tex]
[tex]\[ x = \square \text{ successes} \][/tex]
[tex]\[ p = \square \text{ probability of those who prefer tea (as a decimal, not percent)} \][/tex]