SOLUTION: . A privately owned liquor store operates both drive-in facility and walk-in facility. On randomly selected day, let X and Y, respectively, be the proportion of the time that the d
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Question 1205408: . A privately owned liquor store operates both drive-in facility and walk-in facility. On randomly selected day, let X and Y, respectively, be the proportion of the time that the drive-in and walk - in facilities are in us, and suppose that the joint density function of these random variable is
f(x,y) = {2/3 (x+2y) 0 ≤x ≤1,0 ≤y ≤1 0 elsewhere.
a. Find the marginal density of X
b. Find the marginal density of Y
c. Find the probability that the drive-in facility is busy less than one half of the time.
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