Final answer:
The probability can be calculated using binomial probability. The student needs to answer at least 7 questions correctly. Use the binomial probability formula to calculate the probability of passing the test with at least a 70 percent.
Step-by-step explanation:
The probability of passing the test with at least a 70 percent can be calculated using binomial probability. Since the quiz consists of 10 true-false questions, the probability of guessing the correct answer to one question is 0.5. To pass the test with at least a 70 percent, the student needs to answer at least 7 questions correctly. We can use the binomial probability formula to calculate the probability of getting 7, 8, 9, or 10 correct answers. Adding these probabilities together will give us the probability of passing the test with at least a 70 percent.