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Hello, Can you please help me with the homework problem shown below? As well as showing the work/explanation so I can gain an understanding for

Hello,

Can you please help me with the homework problem shown below? As well as showing the work/explanation so I can gain an understanding for similar problems?

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7. Teachers' salaries in New Jersey are normally distributed with mean $52,174 and standard deviation $7500. (a) What is the probability that a (single) randomly selected teacher makes less than $50,000 a year? [6 pts] (b) What is the probability that, in a random sample of 25 teachers' salaries, the average salary f is less than $50,000? [6 pts]

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