Moment generating function of a random variable
The moment generating function of a random variable X is given by Mx(t)= 1/4+(1/8)e^(t)+(3/8)e^(2t)+(1/4)e^(4t) . Determine the probability that X lies between -1 and 3
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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
Three identical resistors are connected in parallel. The equivalent resistance increases by 670 when one resistor is removed and connected in series with the remaining two, which are still in parallel. Find the resistance of each resistor.
A 5 m plank of mass 100 kilograms rests on top of a building with 2 meters of plank extended over the edge of the building. How far can a 50 kg person venture past edge of building on plank before the plank just begins to tip?
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Suppose that a random variable, X has the probability distribution
Tasks are sent to a supercomputer at an average rate of 6 tasks per minute. Their arrivals are modeled by a Binomial counting process with 2-second frames. Compute the probability of more than 2 tasks sent during 10 seconds
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