I'm having trouble with the following question:
The error for the production of a machine is uniformly distributed over $[-0.7, 0.5]$ unit. Assuming that there are $10$ machines working at the same time, approximate the probability that the final total production differ from the exact total production by more than $1$ unit?
I've attempted this multiple times and failed to get the correct answer. See the image below for my solution reaching 0.033625.
Any advice on where I'm going wrong and what I should be doing instead would be greatly appreciated. Thank you.