Question 1. The joint density function of my lunch preparation time (in minutes) on t consequent days X and Y, p(x,y) is given below. (X denotes the preparation time on the first day a Y denotes the preparation time on the second day). X b 5 C. 10 15 20 9 0.04 0.02 0.03 0.04 18 0.09 0.17 0.01 Y 0.07 27 0.13 0.07 0.03 0.13 36 0.12 0.04 0.01 What is the probability that the preparation time will take at least 10 minutes on the first day and at least 25 minutes on the second day? Calculate the conditional probability mass function of X, given Y=18. Are X and Y independent RVs? Explain. 0.02

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