A joint density function of the continuous random variables x and y is a function f(x, y) satisfying the following properties.
f(x, y) ≥ 0 for all (x, y)
∞ 
−∞ 
∞  f(x, y) dA = 1 
−∞ 
R 
f(x, y) dA  
Show that the function is a joint density function and find the required probability.
f(x, y) =

0 ≤ x ≤ 1, 1 ≤ y ≤ 9  
0,  elsewhere 
P(0 ≤ x ≤ 1, 1 ≤ y ≤ 7)
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