[Solution Library] Suppose that the random variable X is normally distributed with μ =1000 and σ =100. Find the following probabilities: Pr (1000≤ X≤


Question: Suppose that the random variable X is normally distributed with \(\mu =1000\) and \(\sigma =100\). Find the following probabilities:

  1. \(\Pr \left( 1000\le X\le 1200 \right)\)
  2. \(\Pr \left( X>1257 \right)\)
  3. \(\Pr \left( X<1035 \right)\)
  4. \(\Pr \left( 857\le X\le 1183 \right)\)
  5. \(\Pr \left( X\le 700 \right)\)
  6. \(\Pr \left( 812\le X\le 913 \right)\)
  7. \(\Pr \left( X>891 \right)\)
  8. \(\Pr \left( 1050\le X\le 1250 \right)\)

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Deliverable: Word Document

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