11 B Use the following scenario to answer the questions below The mean mathematics SAT score in 2019 was 514 with a standard deviation of 117. Assume the mathematics SAT score is normally distributed. Fill in the table below. Show all your work in the space provided below the table. Do not use technology other than calculators when calculating for the values. [1 mark per box unless otherwise stated] State the random Find the probability percent that a person has a mathematics SAT score: variable (Round to 1 decimal) The random variable is over 700 less than 400 Between 500 and 650 the SAT score. Find the mathematics SAT score that represents What approximate SAT score will have a the top 1% of all scores percentile of 43.64%? Answer in whole number Find the z-score of someone with a score of 668 What percentile is the score of 6687