[All Steps] The demand for a new product is estimated to be normally distributed with μ=200 and σ=40. Let x be the number of units demanded and


Question: The demand for a new product is estimated to be normally distributed with \(\mu=200\) and \(\sigma=40\). Let \(x\) be the number of units demanded and find the following probabilities.

  1. \(P(180 \leq x \leq 220)\)
  2. \(\quad P(x \geq 250)\)
  3. \(P(x \leq 100)\)
  4. \(P(225 \leq x \leq 250)\)

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