Final answer:
The mean number of copiers that will break down on any given day is 1.68.
Step-by-step explanation:
To find the mean number of copiers that will break down on any given day, we can use the formula µ = np, where µ is the mean, n is the number of trials, and p is the probability of success.
In this case, the number of trials is 14 (as there are 14 copiers) and the probability of success is 3/25 (as the probability that any one copier will break down is 3/25).
So, the mean number of copiers that will break down on any given day is (14)(3/25) = 42/25, which can be simplified to 1.68.