Probability of answering at least one question correctly
You are given 10 multiple choice questions with 5 choices each, of which only one is correct. If you try and guess the correct answer for each question. Determine the probability of answering at least one question correctly?
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A random variable X has a distribution with pdf p(x) = ((x^2)/16)*exp(-x/2) when x>0 and p(x) = 0 whenever x<0. What is the mean and variance of X?
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