You must indicate and label the probability of what event you are calculating, Is it P(Y=3)'.7 etc.. Label and define your variable, as you must in all questions that require work' Suppose the distribution of math scores on the SAT test has a roughly unimodal and symmetric distribution with mean equal to 500 and standard deviation equal to 100' You happened to earn a 600 on the math part of the SAT, Where do you stand among all students who took this math portion of the SAT? (i) Draw the distribution of scores and label the points one SD, two SDs, and three SDs away from the mean. You can just draw a line and mark in it the one SD value, two SDs value and three SDs. You do not need to draw the curve above the line' (ii) What percentage of students scored below 400? (iii) What percentage of students scored above 700'? (iv) What percentage of students scored between 500 and 600? (v) What percentage of students scored above 620? (vi) What score did you have to receive to be above the 90th percentile? What about the 10th percentile? Do not attach a file or screenshot. Enter all your answer in the space provided