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 decimal 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 $3880. P(X<3880)= Part 2 of 2 X Find the probability that the mean benefit for a random sample of 20 patients is more than $4280. P(X> 4280) S

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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 decimal 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 $3880.
P(X<3880) =
Part 2 of 2
X
P(X> 4280) -
Find the probability that the mean benefit for a random sample of 20 patients is more than $4280.
3
X
S
Transcribed Image Text: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 decimal 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 $3880. P(X<3880) = Part 2 of 2 X P(X> 4280) - Find the probability that the mean benefit for a random sample of 20 patients is more than $4280. 3 X S
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