These are all connected questions. Please help me out, I will surely give a thumbs up.    A. Show that the following function satisfies the properties of a joint probability mass function. B. For a given joint probability mass function, determine P(X <2.5). C. For a given joint probability mass function, determine P(X >1.8, Y > 4.7).

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1. These are all connected questions. Please help me out, I will surely give a thumbs up. 

 

A. Show that the following function satisfies the properties
of a joint probability mass function.
B. For a given joint probability mass function, determine P(X <2.5).
C. For a given joint probability mass function, determine P(X >1.8, Y > 4.7).
D. For a given joint probability mass function, determine the values (up to 4 decimal places) of the following: 
a. E(Y) =
b. V(Y) =

X
1.0
1.5
1.5
2.5
3.0
y
1
23
4
5
fxy (x, y)
1/4
1/8
1/4
1/4
1/8
Transcribed Image Text:X 1.0 1.5 1.5 2.5 3.0 y 1 23 4 5 fxy (x, y) 1/4 1/8 1/4 1/4 1/8
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