Midterm grades The midterm grades in a Stats course depend on how many questions the exam has. The midterm will have 10 + X questions, and the grades distribution follows a My, 10),whereu = 100 X. The professor has a question bank with 30 questions and, for each question independently, the professor will decide whether to include the question or not. There is a probability of 0.9 that the professor will include any given question. Let X be the number of additional questions selected for the midterm. 1 point What is the probability that a midterm has 39 or fewer questions? 00000 4.2% 95.8% 0% 70% None of the above I59 Midterm grades The midterm grades in a Stats course depend on how many questions the exam has. The midterm will have 10 + X questions, and the grades distribution followsa N(p,, 10),wherep, = 100 X. The professor has a question bank with 30 questions and, for each question independently, the professor will decide whether to include the question or not. There is a probability of 0.9 that the professor will include any given question. Let X be the number of additional questions selected for the midterm. 1 point In a given term, 50 students registered for the course. at What is the probability that the class's average grade is between 68 and 72 if the midterm had 40 questions? 00000 84.27% 15.85% 92.14% 57.93% None of the above. Midterm grades The midterm grades in a Stats course depend on how many questions the exam has. The midterm will have 10 + X questions, and the grades distribution followsa N(p,, 10),wherep, = 100 X. The professor has a question bank with 30 questions and, for each question independently, the professor will decide whether to include the question or not. There is a probability of 0.9 that the professor will include any given question. Let X be the number of additional questions selected for the midterm. 1 point Q In a given term, 50 students registered for the course. Suppose the professor wants only a 5% chance for the class' average grade to be higher than 75. How many questions should there be on the midterm so that there is an exact 5% probability that the class's average grade will be higher than 75? (Enter your answer with 2 decimal places.) Type your