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Consider the following probability distribution function for a continuous random variable:
f(x) = 3x62/35 -2<x<-3 =0 elsewhere
a) Show that this function satisfies the requirements of a probability distribution function.
b)Calculate the expected (mean) value of x.
c)Calculate the variance and the standard deviation of x.
Calculate the probability of the following cases:
a) x=<0
b) 0 < x :s 1 .
c) x = 2.
cylinder containing ch4 c2h6 and n2 has to be prepared in which the ratio of the moles of ch4 to c2h6 is 1.3 to 1.
Gear A rotates with an angular velocity of 100 rpm clockwise. Knowing that the angular velocity of arm AB is 50 rpm counterclockwise, determine the corresponding angular velocity of gear B.
two kilograms of water fills a 0.1 m3 rigid tank the volume will not change at an initial pressure of 2mpa. the
Using a centrifugal pump, and a flow rate of 60 gal/min, calculate the break hp of the pump using water with a density of 62.4lbm/ft3 and do the same for a nonviscous liquid having a density of 0.85g/cm3.
An ideal vapor-compression refrigeration cycle uses R-134a as the working fluid in an air-conditioning system. The refrigerant enters the compressor as a saturated vapor at 40 °F
assuming that r-134a is an ideal gas what would the specific volume of r-134a at 40 deg c and 0.06 mpaabsolute? how
To Verify the law for parallelogram of forces, law for triangle of forces and law of polygon of forces. These laws are very useful to calculate unknown forces in very short time.
a commercial heat pump has energy in to the system at a rate of 60 kw from a thermal reservoir. ifnbspthe power input
a child drops a rock into a well and hears it splash into the water at the bottom exactly 2 seconds later. if she is at
your job is to create a design of Rankine cycle that create the most possible power from this heat source . you may use any working fluid for which you can find the properties , assume the turbines 92% efficient and pumps 85%
a laser is directed at a double-slit arrangement. if we increase the wavelength of the light which of the following
Calculate the minimal round-trip time delay for a radio communications link between Los Angeles and the satellite.
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