Final answer:
The subject matter involves using statistical methods to predict final exam scores from previous performance and calculating probabilities related to quiz outcomes. The context is related to high school Mathematics and involves using concepts such as mean scores, standard deviations, and the binomial distribution.
Step-by-step explanation:
The question relates to the calculation of probabilities and understanding mean scores in the context of GCSE exams, specifically for a student named Bhavik to achieve a grade 9. To predict the final exam score based on previous exam performance, statistical methods like regression analysis may be used. Relative to the provided examples, if a student scored a 90 on the third exam, we might use a linear prediction equation, such as the one provided (173.51 + 4.83(73) = 179.08), to predict their final score. Moreover, the calculation of probabilities for a student to pass a quiz by guessing is a matter of applying the binomial distribution to the scenario.
To find the probability of a student getting a grade of at least 70 percent on a true-false quiz with 10 questions, one can calculate the probability of the student getting 7, 8, 9, or 10 questions correct by chance, and then add those probabilities together. As the questions are true or false, the probability of getting any single question correct by guessing is 1/2.