Q3. Ahnost all medical schools in the United Stairs require students to take the Medical College Admission Test MEAT). To estimate the mean score p of those who took the MEAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distributiom and from published information you know that the standard deviation is l 1. Suppose that {unknoWn to you] the mean score of those taking the MEAT on your campus is 520. A] {2 marks] If you choose one student at random, what is the probability that the student's score is between 520 and 531'? B] {3 marks) You sample 121 students. What is the sampling distribution of their average score '2' About Notation used: N{MEAN,SD} - Normally distributed with mean and SD C} {3 marks) 1What is the probability that the mean score of your sample is between 520 and 531'? D] {2 marks] How large an SR3 must you take to reduce the standard deviation of the sample mean score to {15