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[Please name the tab as “Exponential”] It is said that the a…

[Please name the tab as “Exponential”] It is said that the average lifespan of a smartphone produced by a company is 6 years and follows an exponential distribution. Find the probability that this smartphone will last more than 8 years. Round to 4 decimal places. (for example, 0.0233333 should be written as 0.0233. If written as 2.3333%, the answer will be incorrect.)

[Please name the tab as “Normal”] The daily number of outgoi…

[Please name the tab as “Normal”] The daily number of outgoing packages at a regional distribution center follows a normal distribution with a mean of 10,000 and a standard deviation of 300. The center’s standard operating capacity is 10,000 packages, which is managed by 100 full-time workers. To maintain the delivery deadline (service quality), the center requires one additional temporary worker for every 150 extra packages beyond the standard capacity. Example: Handling up to 10,150 packages requires 101 workers (100 full-time + 1 temporary). Example: Handling up to 10,300 packages requires 102 workers. If the number of packages exceeds the capacity of the scheduled staff, the delivery delay will occur (service quality drops). [Question] If the center manager schedules a total of 104 workers (100 full-time + 4 temporary) for a specific day, what is the probability that the center will successfully maintain its service quality (i.e., no delivery delays)? Please use Excel to calculate the probability and round your answer to 4 decimal places. (For example, 0.52344 should be written as 0.5234. If written as 52.34%, the answer will be incorrect.)