Show oi! 0! [our work or support your answers by: . showing theformuia you use for your cuicuiaiious and the numbers plugged in appropriate. - drawing pictures for normai distribution calculations and indicate appropriate areas or z- scores. 1. Scores on a college entrance examination follow a normal distribution with a mean of 500 points and a standard deviation of 100 points. (Note: the scores are continuous: a student can earn fractions of points.) a. Find the probability that a student will score over 680 points. b. If a school only admits students who score over 680, what proportion of the student pool would be eligible for admission? 0. The college wants to reassess the cutoff for admission. What score should be the new limit if only the top 15% of students are to be eligible? (Round to the nearest whole number.) 2. At a large university, the average student spends $3 8.90 each month for cellular phone service with a standard deviation of $3.64. Consider a group of 44 randomly chosen university students. What is the probability that their average cell phone bill differs from the mean by more than $1