6. Suppose that a point (X, Y ) is chosen at random from the region S in the xy-plane containing all points (x, y) suchthatx≥0,y≥0,and4y+x≤4. a. Determinethejointp. d.f. ofXandY. b. Suppose that S0 is a subset of the region S having area α and determine Pr[(X, Y ) ∈ S0].

my answer is$ 12

step-by-step explanation:

because 15 -2=12

6/20

step-by-step explanation:

i dont know men

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is