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Independence and correlation functions
We have shown that if the random variables A and B were independent and F(A) and G(B) were numerical functions defined on A and B, then
Suppose have two random numbers, X and Y , and we know that:
Does that imply that X and Y are independent? Provide a proof or counter-example.
a mass-spring-damper system has a mass of 100 kg. its free response amplitude decays such that the amplitude of the
a number of small solid bodies are floating on the surface of a liquid. what is the effect of surface tension on two
air in an internal-combustion engine has 227degc 1000 kpa with a volume of 0.l m3. combustion heats it to 1500 k in a
Determine the potential energy of the stationary truck at the top of the incline and the kinetic energy of the rolling truck at the bottom of the incline just before impact, and its velocity.
This problem came from the "kinematics of particles" part holding the "Determination of the motion of a particle" section, so use the formula relating to this section of this part.
An uninsulated thin-wall pipe of 75 mm diameter is used to transport water at a temperature of 3?C to an outdoor cooling towe
a long cylinder pressure vessel with closed ends has an internal pressure of 3 mpa. calculate the hoop stress sigma
the cooling water flow rate to the condensers of a big coal-fired power plant is 8460 kgs. the water enters the
You want to know if you should replace the existing machines, which has a Cpk of 1.0. You decide to determine the Cpk for the new machines and make a decision on that basis.
Briefly state the two physical states associated with elements in the following types of hardware
1. Is it possible for two screw dislocations of opposite sign to annihilate each other? Explain your answer.
1. The Red Cedar River ?ows placidly through MSU's campus at a depth of 80 cm. A leaf is observed to travel about 1 m in 4 s. Decide if the ?ow is laminar or turbulent. Make any assumptions needed.
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