We have to find the probability of incorrectly answering exactly 2 questions on the quiz.
As the quiz has 8 questions, this means that incorrectly anwering exactly 2 questions malso tell us that the other 6 questions were answered correctly.
The probability of correctly answering any question is constant and has a value of p = 0.75.
Then, we can model the amount of correct answers as a binomia random variable witht n = 8 (the numbe of questions) and p = 0.75.
We can calculate then the probability of correcly answering 6 questions, which is an equivalent event to incorrectly answer 2 questions:

We can check this answer as:
Answer: the probbility is 0approximately .3115.