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A random variable x has a following probability distribution.
x: 0 1 2 3
P(X=x) 1/6 1/2 1/5 2/15
How to calculate E(1/(X+1))?

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    In a production process of a certain item made in large quantities, the proportion of defectives is 0.005. A random sample of 200 is selected. What is the probability that there are 3 defectives in the sample? Assume Poisson distribution. Value of e = 2.71828

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