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Suppose X is a continuous random variable with probability density function, f(x)=4x^3 for 0<x<1, f(x)=0 for x elsewhere. a)find find E(X) b)find the medium of X,the 50th percentile c)use the following four uniform (0,1) distrubuted random variables from table 7, .64,.30,.02,.87 to stimulate a random sample data set of n=4 values of X d) compute the sample mean and medium sample from the stimulated sample
The cycle has a thermal efficiency of 35%, and steam changes from saturated vapor at 300 C during the heat addition process. If the mass flow rate of the steam is 2kg/s, determine the net power (kw) output of this engine.
A rectangular gate is inclined at an angle of 30 degrees from the horizontal. It is 4 ft wide by 6 feet long. If it is hung from its upper end which is 8 feet below the waters top edge, what minimum applied force (bottom) is needed to open the gat..
A 0.20 kg stone attached to a 0.8 m long string is rotated in a horizontal plane. The string makes an angle of 25° with the horizontal. Determine the speed of the stone.
It has been determined that the steady-state diffusion flux of a gas molecule through a solid metal plate is 5*10^-8 kg/m^2*s at a temperature of 1000K, and a concentration gradient of -300 kg/m^4.
Air at 80oC and a pressure of approximately 1350 kPa abs flows in a 20-mm-diameter tube. What is the minimum turbulent flow rate
given f(x) = -2x^6 - 1.5x^4 + 10x +2. use a root location technique to determine the maximum of this function. perform iterations until the approximate relative error falls below 5%.
A certain fluid at 15 psia is contained in a cylinder behind a frictionless piston. The initial volume of the fluid is 300 in^3. The fluid expands to a volume of 450 in^3 while the pressure increases to 25 psia.
What is the peak discharge for an area with the following characteristics The rainfall intensity is 120 mm/hour. Land use Area, m2 Forest 10,000 Single family residential 9,000 Parking lots 5,000
At the morning break, an industrial engineer quickly measures the worker's heart rate and finds a peak value of 110 beats/min one minute after stopping work and a value of 95 beats/min three minutes after stopping work.
The section of the plywood in the 3rd quadrant is sawed off and the resulting piece is then glued squarely over the 4th quadrant portion of the plywood with glue of negligible weight.What are the x- and y-coordinates of the resulting center of gra..
A uniform thin column of length L, positioned vertically with one end embedded in the ground, will deflect, or bend away,from the vertical under the influence of its own weight
laminar flow of a real fluid down a cylindrical pipe of constant radius R. Poiseuille showed that the velocity profile was parabolic and given by u(r)=c(R^2-r^2), where r is the radial coordinate and c is a dimensional constant.
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