We have two fair three-sided dice, indexed by =1,2 . each die has sides labelled 1 , 2 , and 3 . we roll the two dice independently, one roll for each die. for =1,2 , let the random variable represent the result of the th die, so that is uniformly distributed over the set {1,2,3} . define =− .
1. calculate the numerical values of following probabilities: (a) p(x = 0) = (b) p(x = 1) = (c) p(x = −2) = (d) p(x = 3) = 2. let y = x2 .
2. calculate the following probabilities: (a) p(y = 0) = (b) p(y = 1) = (c) p(y = 2) =

The correlation coefficient between the number of students and marks obtained in end semester exam. (13 marks) give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 marks) draw the number of students and marks obtained in end semester exam scatter diagram c. (4 marks) check list write your name and id corectly write the question number properly use your own calculator. show all the steps to solve the problems. use the correct formula. answer in provided time. don't use your mobile for any purpose. write your answer up to two decimal places