Independent random variable with mean
Given that X1,X2,X3, and X4 are independent random variable with mean 2 and variance 4, find E(Y) and E(Z) for :
Y=3X4-X1+(0.2X3
Z= X2+7X3-9X1
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Suppose a charge of -2.10 µC is at the origin and a charge of 2.90 µC is at the point (0, 3.00) m. (a) Find the electric potential at (4.00, 0) m, assuming the electric potential is zero at infinity.
A steam power plant utilizing the Rankine cycle has the following particulars. Determine the power in kW and the thermal efficiency of the plant.
It is then reheated to 400oC and is then expanded to 10 kPa in the low pressure turbine. Calculate the cycle thermal efficiency and the moisture content leaving the low pressure turbine.
A model rocket is launched straight upward with an initial speed of 70.0 m/s. It accelerates with a constant upward acceleration of 1.00 m/s2 until its engines stop at an altitude of 120 m. (a) What is the maximum height reached by the rocket?
The appropriate pumps are used for the water leaving the condenser and the feed water heater. Calculate the cycle thermal efficiency and the net work per kg of steam.
If only one extraction from the turbine occurs at 10 bar, what percentage of the total flow to the turbine is ideally extracted? Calculate the amount by which the turbine work is changed.
The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.2 lb. Find the mean weight of Mr. Smith's ripe watermelons if only 6% weigh less than 13 lb. (Give your answer correct to one decimal
Four point charges have the same magnitude of 2.59 x 10-12 C and are fixed to the corners of a square that is 4.40 cm on a side. Three of the charges are positive and one is negative. Determine the magnitude of the net electric field that exists
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