Expected number by three or more standard deviations
A fair coin is tossed 100 times. What does the Chebyshev inequality tell you about the probability that the number of heads that turn up deviates from the expected number by three or more standard deviations?
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Determine the magnitude and line of action of the total resultant force from all fluids acting on the door. Place the origin of your coordinate system 1 m below the free surface.
A sample of 25 novels has a standard deviation of 9 pages. Find the 95% confidence interval of the population standard deviation. (LET SD be the symbol for standard deviation as in sigma)
Measurements of the power out of the turbine indicate that it is 4 MW. Determine the heat loss from the turbine (Btu/s).
A high school project involves building a model ultralight airplane. Some of the stu- dents propose making an airfoil from a sheet of plastic 1.5 m long by 2 m wide at an angle of attack of 12o.
Suppose we choose independently 25 numbers at random (uniform density) from the interval [0, 20]. Write the normal densities that approximate the densities of their sum S25 and their average A25.
Determine the minuimum coeffeicent of static friction between A and B required for A not to slide with respect to B if θ = 23. Friction between the sled and the incline is negligible.
What are the three longest wavelengths for standing sound waves in a 121-cm-long tube that is (a) open at both ends and (b) open at one end, closed at the other?
The acceleration of a particle is defined by the relation A=25-3x^2 where A is expressed in m/s^2 and X in meters. The particle starts with no initial velocity at x=0. Determine position where the velocity is maximum.
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