this is multivariate analysis

6. (8 pts) Consider two populations C and C2 with distributions N(10, 4) and N(14, 4), respec- tively, each with the same prior probability 1/2. Assume misclassification costs c(2 | 1) = 5 and c(1 | 2) = 15. You decide to allocate X to C if d, (X) = X -T 0. For each of the values r E {9, 10, 11, 12, 13} compute: P(1 | 2) = probability that X is from C2 but is allocated to C]. P(2 | 1) = probability that X is from C but is allocated to Cz. P(X E Ci, d(X) > 0) = probability that X is from C and is allocated to Cz. P(X E C2, d(X)