Question 1
Suppose a continuous random variable has a joint probability density function given by

Find the probability that a point (x, y) is in the region bounded by

and

by evaluating the integral

◦ 0.275
◦ 0.125
◦ 0.4
◦ 0.1
Question 2
Suppose that a continuous random variable has a joint probability density function given by
f(x, y) = y
2 - 2y +

xy -

x +

, 1 ≤ x ≤ 5, 0 ≤ y ≤ 1
Find the probability that a point is in the region bounded by 2 ≤ x ≤ 5 and 0 ≤ y ≤ 1.
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