The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 843 and a standard deviation of 100.

Enter percentage answers in percent form (i.e. 3.00%% instead of 0.03). Round all final answers to 2 decimals.

(a) What percent of students scored between 681 and 1132? %% (b) What percent of students got 946 or more on the test? %% (c) The Osgoode Hall Law School wants candidates for admission to be in the top 19%% of LSAT test scores. What is the minimum test score a candidate needs to achieve to be considered for admission to this school?

For part (d) enter probability answers in decimal form (i.e. 0.0003 instead of 0.0300%%). Round the final answer to 4 decimals.

(d) If a group of 32 applicants is randomly selected, what is the probability that the group average is not less than 863?