Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X and Y. (c) P(Y = 1/X = 1).
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- Suppose that the unknown X is uniformly distributed between 0 and 1. What is the expected value of (X^4+2x+1)?If y1, y2,..., ym be a random sample taken from a normal distribution with parameters x and n× n, then the likelihood equation isThe operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will be below the capacity on a randomly selected day is 0.995? c) Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
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