What should be the guaranteed delivery time

Assignment Help Basic Statistics
Reference no: EM133651077

Discussion 1: Find Z-Score given a value of random variable

In order to be able to fly freely at Statopia at night, every citizen needs to achieve a certain level of Brightness. For the past 100 years, the average Brightness is 100 and the standard deviation is 20.

1. Tamino has Brightness of 120. What is the z-score for Tamino's Brightness?
2. Papagano has Brightness of 80. What is the z-score for Papagano's Brightness?

Discussion 2: Find value for a random variable given Z-Score

In order to be able to fly freely at Statopia at night, every citizen needs to achieve a certain level of Brightness. For the past 100 years, the average Brightness is 100 and the standard deviation is 20.

3. What is the Brightness of Queen of Night if her z-score -3?

4. What is the Brightness of Sarastro if his z-score is 5?

Discussion 3: Guarantee Express Delivery

Express Courier Service has found that the delivery time for packages is normally distributed, with mean 14 hours and standard deviation 2 hours

  1. What is the distribution for package delivery time, X?
  2. For a package selected at random, what is the probability that it will be delivered more than 18 hours or more. ( Note in normal distribution )
  3. Is it likely that your package take more than 18 hours to be delivered? Justify your answer.
  4. What should be the guaranteed delivery time on all packages in order to be 95% sure that the package will be delivered before this time? Hint: Note that 5% of the packages will be delivered at a time beyond the guaranteed time period.

Reference no: EM133651077

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