Let X₁, X_{2, ...,} X₁₀ be a sample from a N(25, 5²) distribution, independent of the sample Y_1, Y_{2, ...,} Y₂₀ coming from a N(0, 10²) distribution.

STA2603_2021_Assignment 6.pdf x *Homework Help - Q&A from Onl x + X > C A mymodules.unisa.ac.za/access/content/attachment/STA2603-21-$1/Online%20Assessment/8d8d1cf6-dd49-4480-9f6a-49e73fd677d8/STA2603_2021_Assign.. STA2603_2021_Assignment 6.pdf 3 / 3 100% + degrees of freedom of the t-distribution? Justify your answer! They a Question 5 Let X, and Y, be as above, and define UNSAF SX = 1E(X, - X) S, = E( Y - ) of = }E (X, -25)2 of =()2 1=1 where X = and Y =; EY (a) Find E (Sx) and E (($3.)2). (b) Find E 2 (c) Find E (d) Find the distribution of Sy 3 5:35 PM 8/30/2021