The average per capita income for residents of Pennsylvania is $32,711 with a standard deviation of $3,100. If the variable is normally distributed, find the probability that the mean income of a sample of 50 residents would be less than $33,000. Express your answer as a decimal to four decimal places.

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A: X~N(mean=28, sd=5)

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A: mean = 100 standard deviation = 15

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Mean()=105standard deviation()=15