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Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in...

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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 decimalplaces and intermediate z-value calculations to two decimal places.Part 1 of 2Find the probability that the mean benefit for a random sample of 22 patients is less than $3940.P(X<3940) =Part 2 of 2Find the probability that the mean benefit for a random sample of 22 patients is more than $4230.P(X> 4230) =

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