Question: The IT manager at a large corporation is assessing the memory usage on the corporation’s network. The amount of storage memory used (in GB’s) in a month by the network users has an approximate Normal distribution with mean = 3.85 and standard deviation = 1.34.

1. The manager decides to classify the users with less than 2.5 GB monthly memory usage as "Light Memory Users".  What percentage of the network users are "Light Memory Users"?
2. "Medium Users" were classified as those that use between 2.5 GB and 4.5 GB memory in a month. What proportion of the network users are "Medium Users"?
3. What proportion of the network users monthly uses more than 6 GB?
4. What is the minimum amount of memory used monthly by the top-10 percentile?
5. Find the exact shortest range in which the middle 90% of the monthly network memory usage fall in.
6. The corporation’s network is used by 70 employees independently. What are the mean & standard deviation of the total corporate monthly memory usage?
7. What is the probability that the total corporate network memory usage for a month is 270 GB or more?
8. Assume that a year is a random sample of 12 months. What is the probability that the total corporate network memory usage for a year is 3320 GB or more?
9. Assume that a quarter is a random sample of 3 months. What is the probability that the total corporate network memory usage for a quarter is 810 GB or more?
10. Consider three scenarios:

Scenario A: One month, the total memory usage was 270 GB

Scenario B: One quarter, the total memory usage was 810 GB

Scenario C: One year, the total memory usage was 3320 GB

Which one of these scenarios should raise a more serious (important) flag? Justify using the answers to the three previous parts. Please describe the linkage clearly.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document