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Mathematics, 01.07.2020 15:01 sheiladenson3619

Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. x 1 2 3 4
p(x) 0.3 0.4 0.1 0.2
A) Consider a random sample of size n = 2 (two customers), and let Xbar be the sample mean number of packages shipped. Obtain the probability distribution of Xbar. B) Use (a) to calculate P (Xbar < = 2.5).C) If a random sample of size 4 is selected, what is P (Xbar <= 1.5)?
D) Find V(Xbar).

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