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7. (12 points) Penelope and her roommate Caroline were hungry and so they decided to order some delivery food. Penelope ordered a pizza. while Caroline ordered Chinese food. The joint density p(:r,y) for the time I (in hours) it will take the pizza to arrive and the time 3; (in hours) it will take the Chinese food to arrive is given by 320y4(1z) ifosxglandosys 0 otherwise NIH 10(2, 9!) = { What is the probability that the Chinese food arrives before the pizza? Show all of your reasoning in the box below. Include a diagram to support your work