hi....but I don't follow that logic that says that by having the load divided into two heaters means you'll necessarily increase the chances (let alone double them) that one will give trouble. ...
Let me put some logics into your head, young lady!
This is a very complicated issue, and so please let me know if any of you find any mistake(s). The complication is, in addition to the issue of Poisson distribution and mean-time-to-failure parameter, we have to consider the wattage of the heaters as well as the temperature setting. Let's not do it formally with null hypothesis and other technicality, but instead, let me explain it out in pose informally.
Assumptions: The heaters has perfect thermostat, and heat transfer from the heater to the tank water is instanteous and perfect, and temperature of the water is homogenous thru out the entire tank.
1, control: a 200W heater with temperature setting of 75 degree.
2a, let's assume the heaters are two 200 W heaters with identical failure parameter as the control and have identical set point of 75 degree.
2b, two 200W heaters ... and have different set point of 74 deg and 76 deg. (temp. difference of 2 deg.)
2c, two 100W heaters ... and set point of 75 degree.
2d, two 100W heaters ... and set point of 74 deg. and 76 deg.
3a, a 100W heater along is sufficient to keep the temp. to within 2 deg.
3b, a 200W heater along is sufficient, but a 100W is not sufficient.
3c, a 200W heater is not suffiicient to keep the temp to within the 2 deg.
So now, we have this 4X3 matrix that we have to fill out. The failure rate will either be the same compare to the control, or it is less or more. So put the result in applicable cell in the matrix... (some cells are not legit.)
I will come back to the matrix, but if anyone of you get this done, be free to post the result....