Discrete random variable uniformly distributed
Suppose X is a discrete random variable uniformly distributed over {1, 2, . . . , m}, where m is a fixed positive integer. Show that E(X) = (m+1)/2 and Var(X) = (m^2?1)/12
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An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. 1) What is the speed of the electron when it is 10.0 cm from charge 1?
Assume that there is one velocity head loss at the inlet and 0.5 velocity head loss at the outlet of the heat exchanger. The elevation difference is 10.5 m. Calculate the total pressure drop in the system.
Edmond Zacchini flew 53 meters as a human cannonball. if his initail position was 5 meters above the ground and his initail velocity as 24.2 m/s at an angle of 31 degrees with respect to the horizontal, what was the maximum height of the flight?
We burn 16.0 liters of ammonia in 29.3 liters of oxygengas at 500 degree celcius. what volume of nitrogen monoxide gas canform? what volume of steam, H2O (g) can be produced?
Saturated liquid exits the open feedwater heater at 1 MPa. Each turbine stage has an isentropic efficiency of 82%. Each pump has an isentropic efficiency of 100%. Determine the thermal efficiency.
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Find an expression for the work done by the force on a as a function of x. Find both the kinetic energy and speed of a as x approaches infinity.
An object is dropped from a bridge. A second object is thrown downwards 1.00 s later. They both reach the water 20.0 m below at the same instant. What was the initial speed of the second object?
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