Question

If the mean time to failure of a single disk is 100,000 hours, then the mean time to failure of some disk in an array of 100 disks will be :

a) 100 hours
b) 10 days
c) 10 hours
d) 1000 hours

Answer 1

The mean time to failure of some disk in an array of 100 disks is 1,000 hours, calculated by dividing the mean time to failure of a single disk (100,000 hours) by the number of disks in the array (100 disks).

Step-by-step explanation:

If the mean time to failure of a single disk is 100,000 hours, then the calculation for the mean time to failure of some disk in an array of 100 disks assumes that failures of individual disks are independent and occur at a constant rate. This situation can be modeled by an exponential distribution where the mean time to failure (MTTF) for an array of disks is the mean time to failure of a single disk divided by the number of disks in the array.

To calculate the mean time to failure of any disk in an array of 100 disks, you divide 100,000 hours by the number of disks:

• MTTF = 100,000 hours / 100 disks = 1,000 hours

Therefore, the mean time to failure of some disk in an array of 100 disks is 1,000 hours.