An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without replacement. Let Y be the number of red marbles obtained. What is the expectation of Y? Give an answer in decimal format and correct to at least 4 decimal place accuracy.
An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without replacement. Let Y be the number of red marbles obtained. What is the expectation of Y? Give an answer in decimal format and correct to at least 4 decimal place accuracy.
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 Y be the number of red marbles obtained.
What is the expectation of Y?
Give an answer in decimal format and correct to at least 4 decimal place accuracy.
Expert Solution
Step 1: Determine the given variable
Given:
Red marbles: 4
Blue marbles: 3
Green marbles: 2
Total marbles: 4+3+2=9
Number of marbles selected: 3
Let Y be the number of red marbles obtained.
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