(14) 4. On a standardized test the grades are normally distributed with a mean of 34 and a standard deviation of 10. a) Find the probability one student would score over 37 on the exam? b) Find the probability a group of 40 students would have an average score on the exam over 37? c) Why is your answer for a) greater than the answer for b)? d) If I took 2000 samples of 40 students who took this exam and looked at the distribution of their averages what shape distribution would these 2000 means have? (9) 5. If P(A) = .5 and P(B) = .4 and P(A/B) = .3 then find a) P(A n B) b) P(A U B) c) P(B/A)