Suppose household income (X) in the United States is distributed normally with an average realization of $50,000 and standard deviation $25,000. a. What is the z value associated with a realization of household income equal to $70,000? b. Determine P( X ≥ $75,000). c. Determine P ($45,000 ≤ X ≤ $55,000).

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Suppose household income (X) in the United States is distributed normally with an average realization of $50,000 and standard deviation $25,000.


a. What is the z value associated with a realization of household income equal to $70,000?

b. Determine P( X ≥ $75,000).

c. Determine P ($45,000 ≤ X ≤ $55,000).

d. What level of income is required for a household to be in the top 10% of households?

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