Please correct answers

1) [3 marks] Find the corresponding z-score for each of the following raw scores7 given the mean and the standard deviation. a) x29,,u=10.5,a=2.1 b) x=500,p=300,0=250 c) x=5,u=5,a=12 2) [2 marks] In the National Football League, the mean number of eld goals in a season for all kickers in the league is 49.2 with a standard deviation of 7.3 eld goals. A rookie kicker had 35 eld goals this past season. What is the probability a eld goal kicker in the league had less eld goals than the rookie kicker? 3) [3 marks] A law rm has collected data on the lengths of time of their trials. The mean length of time for a trial is 3.5 days with a standard deviation of 0.3 days. What percentage of cases take longer than 4 days? 4) [5 marks] A potato chip company creates bags of chips with a mean weight of 144.5 grams and a standard deviation of 7.6 grams. The company will not allow any bag weighing less than 130 grams or more than 160 grams to be sold. What percentage of bags will be sold? 5) [2 marks] A math contest awards medals of distinction to the top 10% of all students who write. The mean mark on the contest is 54 with a standard deviation of 15. What is the cutoff score needed on the test to win a medal of distinction