Question 5: Test scores for 100 students yielded an average of 156 with a standard deviation of 23. Given this, answer the following: (Hint: Calculate z-scores and values incorporating sample size) a) Calculate the probability a student scores greater than 1757 b) What score separates the top 10% of the scores from the rest? c) To be below average, a student would fall in the bottom 15% of test scores. If a student scored 147, would they be considered \"below average.\" Show calculations to support your answer. (No calculations, no credit)