Per Capita Income of Delaware ResidentsIn a recent year, Delaware had the highest per capita annual income with$

51,803

.If=

$

4850

,answer the following questions. Assume that the sample is taken from a large population and the correction factor can be ignored. Round intermediatez

-value calculations to two decimal places and the final answers to at least four decimal places.

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What is the probability that a random sample of

39

state residents had a mean income greater than$

50,900

?=

P

>

X

50,900