(Steps Shown) [12 points] Suppose that your commute to work is normally distributed with a mean of 20 minutes and a standard deviation of 8 minutes. (6


Question: [12 points] Suppose that your commute to work is normally distributed with a mean of 20 minutes and a standard deviation of 8 minutes.

  1. (6 points) What is the probability that your commute tomorrow will be between 20 and 30 minutes?
  2. (6 points) What is the probability that your average commute over the next 5 work days will be greater than 18 minutes?

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