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The annual income for a sample of 500 part-time students is normally distributed with a mean income of $49,000 and a standard deviation of $3,100.

The annual income for a sample of 500 part-time students is normally distributed with a mean income of $49,000 and a standard deviation of $3,100.

  1. What is the probability their annual income is more than $45,500?
  2. What is the probability their annual income is $51,250-$58,350?
  3. What is the probability their annual income is $55,000?
  4. How much does a student need to make to be in the bottom 28% for their annual income?

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