(Solution) - We let the random variable Xn be a binomial process where -(2025 Original AI-Free Solution)

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We let the random variable Xn be a binomial process,

where each Bi is independent and is distributed according to
(a) Calculate the probabilities P[X4 > k] for k = 0, 1, 2, 4 and plot the distribution function.
(b) Calculate the expected value and the variance of Xn for n = 3.