Standard deviations of the mean
For a normal distribution, find the probability that an observation falls within 0.92 standard deviations of the mean.
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Two ping-pong balls each have a mass of 2.7g and carry a net charge of 0.430μC. One ball is held fixed. At what height should the second ball be placed directly above the fixed ball if it is to remain at rest there?
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Three charges are fixed in the x-y plane as follows: 1.7nC at the origin (0,0); 2.2nC at (0.65m, 0); -1.8nC at (0,1.60m). Find the magnitude of the force acting on the charge at the origin.
At one college, GPAs are normally distributed with a mean of 2.6 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.2 and 3?
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Suppose X has pmf (probability mass function) f(x)=1/5, x=1,2,3,4,5. Compute E(X) and E(X^2) and use those two results to find E[(X+2)].
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