What should be the guaranteed delivery time

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

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

What is the distribution for package delivery time, X?
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 )
Is it likely that your package take more than 18 hours to be delivered? Justify your answer.
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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