Final answer:
To find the probability that the student guesses more than 75 percent of the questions correctly, we need to consider each question individually and use the binomial distribution formula.
Step-by-step explanation:
Probability of Guessing Correctly
To find the probability that the student guesses more than 75 percent of the questions correctly, we need to consider each question individually. Since there are three choices for each question, the probability of guessing the correct answer is 1/3. Therefore, the probability of guessing more than 75 percent of the questions correctly can be calculated using the binomial distribution formula:
P(X > (0.75∗32)) = 1 - P(X ≤ (0.75∗32))
where X follows a binomial distribution with n = 32 and p = 1/3.