In: Math
Answer the following questions and use Excel to show your work.
A student has an important exam coming up and is contemplating not studying for the exam in order to attend a party with his friends. The student must earn a minimum score of 70% on the exam in order to successfully maintain his desired GPA. Suppose the student knows in advance that the exam will consist of 20 multiple-choice questions with 4 possible answers for each question. Answer questions 1–3 using the preceding information and modeling this situation as a binomial distribution.
1. What is the probability that the student will successfully earn exactly the required minimum score of 70% on the exam based solely on randomly guessing the correct answer for each question? a) 2.57 b) 2.57E-02 c) 2.57E-05 d) 2.57E-04
2. What is the probability that the student will earn less than the required minimum score of 70% on the exam based solely on randomly guessing the correct answer for each question? a) 0.74673 b) 0.85198 c) 0.99997 d) 0.23499
3. What is the probability that the student will successfully earn no less than the required minimum score of 70% on the exam based solely on randomly guessing the correct answer for each question? a) 3.51E-04 b) 2.95E-05 c) 6.87E-06 d) 1.27E-03