The annual average precipitation for Washington, DC, is 43 in., with a standard deviation of 6.5 in (P~ N(43,6.5)). Simulate the precipitation as a normal random variable in MATLAB. Plot the histogram, and, find the probability that the precipitation in any 1 year is (a) greater than 55 in., b) less than 35 in., c) either less than 32 in. or greater than 51 in., d) between 38 and 48 in. Output must include your MATLAB code, histogram of P, and the calculated probability values

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.