Let X be the number of packages being mailed by a randomly selectedcustomer at a certain shipping facility. Suppose the distribution of X is asfollows:1.2.3.X1 2 3 4p(x) 0.4 0.3 0.2 0.1Find the mean E(X) and the variance V(X).Consider a random sample of size 2, and let M be the averagenumber of packages shipped among the two observations. Obtain theprobability distribution of M.Consider a random sample of size 100, and let X be the aver-ber of packages shipped from the sample. Calculate the prob-ability that P(X <2.15).

As per the Bartleby guildlines we have to solve first question and rest can be reposted.... Given…

Answered: Let X be the number of packages being…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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