Answer the following questions in a Word document: What makes the normal distribution a probability distribution?

  1. Answer the following questions in a Word document:
  2. What makes the normal distribution a probability distribution?
  • In a normal distribution, what percentage of the area under a normal curve is between µ – σ and µ + σ?
  • In a normal distribution, what percentage of the area under a normal curve is between µ – σ and µ + 2σ?
  • Suppose you are interested in how long it takes to get your food at a restaurant. Now, suppose this distribution is approximately normal with an average of eight minutes and a standard deviation of two minutes. If you made a control chart for this data, what would be the highest control limit?
  • Using the above scenario, suppose someone gets the food after exactly 11 minutes. How many standard deviations from the mean is this value of 11?
  • Using the above scenario, what is the probability that someone would get the food after more than 11 minutes?
  • Using the standard normal distribution, find the area below z=-0.8.
  • Using the standard normal distribution, find the area above z=-0.8.
  • Using the standard normal distribution, find the area between z=-0.8 and z=2.1.

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