Answered: What is the expectation of X?

Math

Probability

What is the expectation of X?

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

An urn holds 4 red, 3 blue, and 2 green marbles.
Three marbles are selected, altogether, without replacement.
Let X be the number of different colors obtained.
(For example, if you get 3 blues, then X = 1, but if you get 2 reds and a green, then X = 2.)

What is the expectation of X?

Expert Solution

Step 1: Define distribution

Here 3 marbles are selected without replacement, using hyper geometric distribution.

An urn holds 4 red, 3 blue, and 2 green marbles.Three marbles are selected, altogether, without replacement.

Let X be the number of different colors obtained.

Step by step

Solved in 4 steps with 2 images

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