Please solve in steps and highlight the main answer. thanks Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. They arrive at the coffee shop independently. Xavier's arrival time is X and Yolanda's arrival time is Y,where X and Y are measured in minutes after noon. The individual density functions are given.Se-xif x 2 0if x < 0f, (x) =f2(y) =-y50if 0 s y s 10otherwise(Xavier arrives sometime after noon and is more likely to arrive promptly than late. Yolanda always arrives by 12:10 PM and is more likely to arrive late than promptly.) After Yolanda arrives, she'll wait for upto 10 minutes for Xavier, but he won't wait for her. Find the probability that they meet. (Round your answer to three decimal places.)

It is the basically question of probability density function The Probability Density Function(PDF)…

Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. They arrive at the coffee shop independently. Xavier's arrival time is X and Yolanda's arrival time is Y, where X and Y are measured in minutes after noon. The individual density functions are given. e-x if x 20 if 0sys 10 f,(Y) -{50 if x < 0 otherwise (Xavier arrives sometime after noon and is more likely to arrive promptly than late. Yolanda always arrives by 12:10 PM and is more likely to arrive late than promptly.) After Yolanda arrives, she'll wait for up to 10 minutes for Xavier, but he won't wait for her. Find the probability that they meet. (Round your answer to three decimal places.)