Question: Please see image. I need answer for d and e. If you do not have enough info please tell me what you need? Thank you!

Please see image. I need answer for d and e. If you do not have enough info please tell me what you need? Thank you!

W 4.12 Suppose y is N4(u, )), where 11 -8 M = I = O WAD W N W W PROBLEMS 107 (a) Find the distribution of z = 4y1 - 2y2 + 13 - 3y4. (b) Find the joint distribution of z1 = y1 + y2 + y3 + >4 and z2 = -2y1 + 3y2 + 13 - 2y4. (c) Find the joint distribution of z1 = 3y1 + y2 -4y3 - y4, z2 = -yI - 3y2 + V3 - 2y4, and z3 = 2y1 + 212 + 4y3 - 5y4. (d) What is the distribution of y3? I need soluntion for d and e. Do you have enough (e) What is the joint distribution of y2 and y4? information? (f) Find the joint distribution of y1, =(VI + >2), 3()1 + >2 + >3), and =(y1 + y2 + >3 + >4)

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