kindly help me solve this

22. show additionally, for X n. x 2, Besides, work on (a)-[d) after refreshing your skill on matrix algebra and normal distribution. (a) For two invertible square matrices A and B of the same dimensions. Show (AB)_1) exists and (AB)_1 = B'Ul'l. Give a example when A and B each are 2 x 2. (b) Show that (AB)T = BTAT. Give a example when A and B each are 2 X 2. ((3) NJ transit Northeast Corridor is delayed X minutes, X is r.v.. EX = 2 and V[X) = 0.25. What is the probability that 1 S X S 3? (provide a bound on it) If we know X is normally distributed, what is the probability that 1 g X S 3'? Why is there a di'erenoe'? ((1) Labor economists and policy makers have long been interested in the return to education, and effect of job training on worker productivity. Suppose they set up the regression model as wage = education, temper, training) + e = g + 31 education + 523112108? + gtraining + e What is interpretation of the parameters g? What is the return to education? What is the eifect of job training? Can you nd some problem with the specication of f(.)? What do you think is included in e