Final answer:
The probability that Jeff's data center will have no unplanned outages in the upcoming year can be calculated using a TI-83, TI-83 plus, or TI-84 calculator by utilizing the Poisson probability function and the steps provided for the calculator. The average number of outages is 0.8, and the probability for k=0 events is the desired output.
Step-by-step explanation:
To calculate the probability that Jeff's data center will have no unplanned outages in the upcoming year, given an average of 0.8 unplanned outages per year, we can model this situation as a Poisson distribution, where the average number of events (unplanned outages) that occur in a fixed interval (1 year) is 0.8. The Poisson probability function can be used to find the probability of exactly k events occurring in a fixed period.
For Jeff's data center to get the special certification, there should be no unplanned outages, which means we want the probability of 0 events (k=0). Using a TI-83, TI-83 plus, or TI-84 calculator, we would use the following steps:
Press 2nd then VARS to access the distribution menu.
Select "poissonpdf(" from the menu.
Enter the average number of outages (0.8) followed by the number of events (0) which is poissonpdf(0.8,0).
Press ENTER to calculate the probability.
The calculator's output will give us the probability that Jeff's data center will have no unplanned outages in the upcoming year. Although I did not use a physical calculator to compute this probability, instructions for conducting this calculation on a specified calculator model were provided.