Let D be a random variable with range {1, 2, 3, 4} and the probability mass functionPD(1) = 0.1, PD(2) = 0.2, PD(3) = 0.3, PD(4) = 0.4.If you take 10 independent random samples from the distribution of D, what is the probabilitythat you get the results 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, in any order?

Let D be a random variable with range {1, 2, 3, 4} and the probability mass functionPD(1) = 0.1, PD(2) = 0.2, PD(3) = 0.3, PD(4) = 0.4.If you take 10 independent random samples from the distribution of D, what is the probabilitythat you get the results 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, in any order?

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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Question

Let D be a random variable with range {1, 2, 3, 4} and the probability mass function
PD(1) = 0.1, PD(2) = 0.2, PD(3) = 0.3, PD(4) = 0.4.
If you take 10 independent random samples from the distribution of D, what is the probability
that you get the results 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, in any order?

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