Consider the following two alternatives availabe to Thanos' pet frog, Fabio, No Surgery and Surgery. No...

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Consider the following two alternatives availabe to Thanos' pet frog, Fabio, "No Surgery" and "Surgery". No Surgery: X = Fabio's "Time Left" without Surgery (in years). Surgery: YFabio's "Time Left" with Surgery (in years). Both X and Y are continuous random variables such that X is uniformly distributed on the interval [0.36,2] (i.e., X~U(0.36,2)) and the cumulative distribution function of Y is given by 0 y < 0 FY(y) = 4y 0 y b/2 b 1 b/2 < y where b=5. Assume that these are the only two options for Fabio and Fabio and Thanos choose the option which maximizes the probability that Fabio will live at least 0.55 years. What is this "maximum probability" equal to? Derive it and then enter the value below. Answer: Consider the following two alternatives availabe to Thanos' pet frog, Fabio, "No Surgery" and "Surgery". No Surgery: X = Fabio's "Time Left" without Surgery (in years). Surgery: YFabio's "Time Left" with Surgery (in years). Both X and Y are continuous random variables such that X is uniformly distributed on the interval [0.36,2] (i.e., X~U(0.36,2)) and the cumulative distribution function of Y is given by 0 y < 0 FY(y) = 4y 0 y b/2 b 1 b/2 < y where b=5. Assume that these are the only two options for Fabio and Fabio and Thanos choose the option which maximizes the probability that Fabio will live at least 0.55 years. What is this "maximum probability" equal to? Derive it and then enter the value below. Answer: