Resistors of various capacities are purchased in lots of 100, with specifications that each resistor have variability (as given by a relative standard deviation) of 2%. Assume that a 10-ohm and a 20-ohm resistor are selected at random from those purchased. a. Calculate the expected value and variance of the overall resistance if the two resistors are connected in series. b. Calculate the expected value and variance of the overall resistance if the two resistors are connected in parallel. c. Determine wh variation ich arrangement of these two resistors (series or parallel) yields the smaller coefficient of Variation.

Consider a power plant with water as the working fluid that operates on an ideal rankine cycle. it has a net power output of 45mw. superheated steam enters the turbine at 7mpa and 500°c (h=3411.4 kj/kg; s=6.8 kj/kg k) and is cooled in the condenser at a pressure of 10 kpa by running cooling water from a lake through the tubes of the condenser at a rate of 2000 kg/s. (a) show the cycle on a t-s diagram (a right schematic is fine - you do not need to calculate the temperatures at each point); (b)-determine the work done by the turbine and the pump in kj/kg; (c)-the mass flow rate of water used by the power plant; (d)-the thermal efficiency of the cycle; (e)-the temperature rise of the cooling water. assume the cooling water is incompressible with cp 4.18 kj/kg°c.