A town with population 10000 has suffered an outbreak of dragon pox, with 4% of the population being infected. There is a test to diagnose the disease. If you have dragon pox, the test will correctly register positive' 98% of the time and will yield a 'false negative' 2% of the time. If you do not have dragon pox, the test will register that correctly 98% of the time and will yield a 'false positive' 2% of the time. Given that you tested positive for the disease, what is the probability that you actually have dragon pox? Enter your answer as a decimal (between 0 and 1). Do not enter a percent and do not use the percent symbol. Round your answer to five decimal places



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