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.
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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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