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Suppose that monthly income follows a normal distribution with = $4,400 and = $1,600. A government agency wants to provide free health care for all

Suppose that monthly income follows a normal distribution with = $4,400 and = $1,600. A government agency wants to provide free health care for all individuals who fall below a specific monthly income level but does not want to award this benefit to more than 33% of the population. What is the income cutoff for this proposed benefit where no more than 33% of the population will qualify (in other words, will fall below this level of income)?

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