Suppose that one variable, 3:, is chosen randomly and uniformly from [0, 5], and another variable, y, is also chosen randomly and uniformly from [0, 5]. What is the probability that a: 3 y :1 13: + 1? The probability for a: 5 y S 13: + 1 is :] Round your answer to four decimal places. Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). ff Tdi R 5 1 R={(r,9)|4r5,11r$9311r}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates. :] Evaluate the following integral over the Region R. (Answer accurate to 4 significant places). ff 113: dA R 7 R={(r,9)|0$r2,0$0z1r}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates. :] Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). 13(1 - 22 - y2) dA R 3 5 R = {(r, 0) 1 3