Answer Happy

Let (M.V) be the joint distribution of SAT math scores and SAT verbal scores. An awards committee uses a combined score of 4M + 3V as one of their criteria. They only consider students whose combined score is at least three standard deviations above the mean. What is the lowest combined score that they are willing to accept? • SAT scores must be multiples of 10. You may assume that combined scores can be any sufficiently large multiple of 10. . Assume that the average score on each SAT section is 500 . Assume that the standard deviation of scores on each section is 100 . Assume that the correlation between math scores and verbal scores is 0.68 Hint: Using the definition of correlation, you can determine Cov(M,V). 4 D Question 15 1 pts Let X be a continuous random variable. Let m be the kth q-tile of X. Choose all correct statements. m-F(k/q) m-F-¹(k/q) F(m)-k/q O F¹(m)-k/q