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I need help solving these problems, I don't understand how to solve them. The scores on a college entrance examination are normally distributed with a

I need help solving these problems, I don't understand how to solve them.

The scores on a college entrance examination are normally distributed with a mean of 550 and a standard deviation of 100. For a sample of 30 students, what is the probability that the sample

  1. Has a mean of at least 600?
  2. Has a mean between 500 and 575?
  3. Has a mean less than 575?

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