The Public Service Student Loan Forgiveness program states that the average amount of student loan forgiven in 2020 is $75,090 with a standard deviation of $13,214. If you randomly select 36 loans that were forgiven, what is the probability that the average will be above $72,000? If you randomly select 75 loans that were forgiven, what is the probability that the average will be below $77,500? If you randomly select 130 loans that were forgiven, what is the probability that the average will be between $74,000 and $76,500?

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