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Why is the Mean Time To Failure of multiple disks calculated via division and not multiplication?

I am reading about disk redudancy. I read the following: Suppose that the mean time to failure of a disk is 100,000 hours. Then the mean time to failure of some disk in an array of 100 disks ...
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Null Hypothesis in Analysis and Testing

I have my end of year exams next Thursday. I'm generally doing fine but I am having some major issues with this strand of my course, this has to be the biggest issue I have. So, here is the question ...
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What is the system's mean time to failure?

I have the following homework problem: A 10 TB disk drive has an MTTF of 6,000,000 hours. How much data can we store in a system comprised of these disks, if we want the system MTTF to be at ...