- #1
s3a
- 818
- 8
Homework Statement
The problem along with its solution are attached as TheProblemAndSolution.jpg.
Homework Equations
Multinomial distribution formula.
The Attempt at a Solution
I'm perfectly fine with part a.
As for part b, does the final answer need the ##f_{Z|8}(0) = 0.694##, ##f_{Z|8}(1) = 0.0277## and what I'm assuming should have been ##f_{Z|8}(2) = 0.027## parts of the solution for part b, or just the ##f_{Z|8}(z) = f_{Z|X = 8}(z) = 2! 0.25^{2-z} 0.05^z / {0.3^2 z! (2-z)!}## part of the solution for part b?
As for part c, the final answer should say "##f_{XZ}(x,z) ≠ f_X(x) f_Z(z)##, and therefore X and Z are dependent" instead of "##f_{XZ}(x,z) ≠ f_X(x) f_Y(y)##, and therefore X and Y are dependent", right?
Any confirmation or rejection as to whether my comments are true or not would be greatly appreciated!