Question

The US postal service claims that delivery time for a package originating in California will take...

  1. The US postal service claims that delivery time for a package originating in California will take an average of 4 days to be delivered to New York City. The postal service also claims that the distribution is normally distributed with a standard deviation of 2 days.
  1. If a package is chosen at random, what is the probability that it will take 5 or more days to get to NY?
  2. 95% of the packages are delivered before how many days?
  3. What is the probability that a package will take 3 or fewer days?
  4. 68 percent of the packages are delivered between 2 days and how many days?
  5. Suppose a random sample of 16 packages is taken, what is the probability that the average of these 16 packages will be more than 3 days?

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