Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decim places and intermediate z-value calculations to two decimal places. Part 1 of 2 Find the probability that the mean benefit for a random sample of 20 patients is less than $3800. P(X<3800) = Part 2 of 2 X P(X> 4150) = Find the probability that the mean benefit for a random sample of 20 patients is more than $4150. 5 X

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