Find the mean and standard deviation for the random variable
From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a town of 1000 households.
x P(x)
0 0.125
1 0.428
2 0.256
3 0.108
4 0.083
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By how many kilograms does the mass of the nuclear fuel decrease in one year? (Assume an efficiency of 35 percent for a nuclear power plant.)
Determine the maximum shear stress developed in the shaft. The shaft has an outer diameter of 80 mm, and the thickness of the wall of the hollow segment is 10 mm.
The nine brand B cars that were tested averaged 32.1 mpg, and the standard deviation was 4.3 mpg. At =0.01, should it conclude that brand A cars have lower average gas mileage than do brand B cars?
A car in an amusement park ride begins at a height of h and travels along a frictionless track before entering a loop with a radius of 20.0 m. Find the minimum height of h so that the car does not fall off the track at the top of the loop.
What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)
A point particle that has a charge of +2.90 µC is released from rest at the origin. What is the change in the electric potential energy of the particle as it travels from the x = 0.00 m plane to the x = 4.10 m plane?
Find A) the mass flow rate of the system B) the power output required by the pump C) the thermal efficiency of the cycle.
A tandem bicycle team must overcome a force of 165 N to maintain a speed of 9.00 m/s. Find the power required by each of the two riders assuming that they contribute equally.
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