Jane and Mary Will Meet Outside the Library at Noon $p ( x , y ) = \frac { 1 } { 180 } e ^ { - x / 12 } e ^ { - y / 15 }$

Short Answer

Jane and Mary will meet outside the library at noon.Jane's arrival time is x and Mary's arrival time is y, where x and y are measured in minutes after noon.The probability density function for the variation in x and y is $p ( x , y ) = \frac { 1 } { 180 } e ^ { - x / 12 } e ^ { - y / 15 }$ After Jane arrives, she will wait up to 15 minutes for Mary, but Mary won't wait for Jane.Find the probability that they meet.