Solved: A bank auditor claims that credit card balances are, Basic Statistics

A bank auditor claims that credit card balances are

A bank auditor claims that credit card balances are normally distributed with mean $3000 and standard deviation $500.

What is the probability that a randomly selected credit card holder has a card balance less than $2500?
What is the probability randomly selected card holder has a balance exactly equal to $3000?
What percentage of card holders have card balances between $2700 and $3700?
Suppose the auditor randomly select two card holders. What is the probability both of them have card balances more than 2500?

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Basic Statistics: A bank auditor claims that credit card balances are

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