Final answer:
The statement that Study Blue is an application that makes quizzes is True. For the calculation of passing a true-false quiz by guessing, one needs to calculate the probability of guessing at least 7 out of 10 questions correctly.
Step-by-step explanation:
The question: 'Is Study Blue an application that makes quizzes?' is seeking to understand if Study Blue offers a feature to create quizzes for educational purposes. The statement is True. Study Blue is an online platform and application that allows users to create digital flashcards and quizzes to aid in studying and learning various subjects.
To calculate the probability of the student passing a 10-question true-false quiz by guessing randomly on each answer with at least a 70 percent, we must first understand what constitutes a 70 percent pass rate. This would mean getting at least 7 out of 10 questions correct. Since each question has two possible answers (true or false), there's a 1/2 chance of guessing the correct answer for each question.
The probability of getting exactly 7 right is a binomial probability problem, which can be calculated using the binomial formula. However, we are looking for the probability of getting at least 7 questions right, which means we need to also consider getting 8, 9, and 10 questions right. Hence, we need to calculate the probability for each of these scenarios and sum them up to find the total probability of passing the test with at least a 70 percent.