Question: Let ? be a uniformly distributed random variable over the interval [0,3]. (a) Determine the mean and variance of ?. (b) Let ? be a

Let ? be a uniformly distributed random variable over the interval [0,3].

(a) Determine the mean and variance of ?.

(b) Let ? be a binomial random variable with 10 number of trials and 0.2 probability of success. If ? and ? are independent, what is the probability that ?>2 and ?=2? What is the probability that ?>2 conditioning on ?=2?

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