4 questionsThanks Suppose X has a multivariate normal distribution given byX111 2р 0X =X2· N32p 4 0X330 0 9When p = 0.5 ,answer the following questions.3X1 – X2 follows a/an.(a).distribution with mean and variance equal to_(b)_v Choose...respectively. Fill in the blanks.(a) normal, (b) 1 and 5(a) gamma, (b) 1 and 4X, and X3 are independent. Answer this question with True or False.1/41/2(a) gamma, (b) 1/2 and 6(X1 – X2 +1)² follows a/an(a).distribution with parameters (b)_(a) normal, (b) 1 and 7Fill in the-blanks.(a) gamma, (b) 1 and 7(a) normal, (b) 2 and 7(a) gamma, (b) 1/2 and 4What is the conditional variance of X given (X2, X3) = (1, 1) ?True13/4(a) gamma, (b) 1/2 and 8(a) normal, (b) 2 and 5TO

Answered: Image /qna-images/answer/97ef52dc-ec89-4290-97da-084ce9f550f9.jpg

Suppose x has a multivariate normal distribution given by X1 1 2р 0 Х— X2 N3 2р 4 X3 3 9. When p = 0.5 , answer the following questions. 3X1 – X2 follows a/an (). distribution with mean and variance equal to _(b)_ v Choose... respectively. Fill in the blanks. (a) normal, (b) 1 and 5 (a) gamma, (b) 1 and 4 X, and X, are independent. Answer this question with True or False. 1/4 1/2 (a) gamma, (b) 1/2 and 6 (X1 – X2 + 1)² follows a/an _(a)_ distribution with parameters _(b). Fill in the (a) normal, (b) 1 and 7 blanks. (a) gamma, (b) 1 and 7 (a) normal, (b) 2 and 7 (a) gamma, (b) 1/2 and 4 What is the conditional variance of X, given (X2, X3) = (1, 1) ? True 1 3/4 (a) gamma, (b) 1/2 and 8 (a) normal, (b) 2 and 5 ba