answer the following questions

3. Suppose that O ~ Unif (0, 2x) and V ~ Exp(1/8). Define X1 = VV cosO and X2 VV sin O. Let X = (X1, X2) be a bivariate random vector. (a) Find the distribution of the random vector X. (b) Find a scalar c such that Z = cX follows the standard bivariate normal distribution. (c) Find a lower triangular matrix A and a vector b such that b + AZ follows the bivariate normal distribution N(u, E), where =Consider a bivariate normal posterior distribution such that Where. O, and Oz ome unknown parameters of the model, while I is the known posterior correlation between or and Question : How to use the properties of the multivariate momal distribution to get the conditional distribution below Q il Q 2 , y N N IP O z , 1 - P ) ~ PD 2 + NI - P N CO, 1 )omework 6 ore: 1.4/10 3/10 answered X Question 3 Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Suppose you compute a 92% confidence interval. What will happen to the confidence interval if you decrease the confidence level to 91%? The confidence interval will widen. The confidence interval will narrow. The width of the confidence interval will stay the same. X Question Help: Video Message instructor Submit