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. 7₁(x) = {6-* if x 20 if x < 0 ₂(y)=50 If 0 sys 10 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 5 minutes for Xavier, but he won't wait for her. Find the probability that they meet. (Round your answer to three decimal places.)

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