A bag contains ten balls, three white and seven black. Three balls are chosen at random from the bag without replacement. Let X be the number of white balls chosen. (Round your answers to five decimal places) Find the distribution of X in table form 1 2 3 Probability of Preview Preview Preview Preview Find E(X) Preview Find o?(x)( Preview
A bag contains ten balls, three white and seven black. Three balls are chosen at random from the bag without replacement. Let X be the number of white balls chosen. (Round your answers to five decimal places) Find the distribution of X in table form 1 2 3 Probability of Preview Preview Preview Preview Find E(X) Preview Find o?(x)( Preview
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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![A bag contains ten balls: three white and seven black. Three balls are chosen at random from the bag without replacement. Let \( X \) be the number of white balls chosen. (Round your answers to five decimal places.)
Find the distribution of \( X \) in table form:
\[
\begin{array}{|c|c|c|c|c|}
\hline
X & 0 & 1 & 2 & 3 \\
\hline
\text{Probability of } X & \text{\_\_\_\_} & \text{\_\_\_\_} & \text{\_\_\_\_} & \text{\_\_\_\_} \\
& \text{Preview} & \text{Preview} & \text{Preview} & \text{Preview} \\
\hline
\end{array}
\]
Calculate the following:
Find \( E(X) \) \(\_\_\_\_\) Preview
Find \( \sigma^2(X) \) \(\_\_\_\_\) Preview](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e6094c0-ff73-4780-aa2d-7b0dc41eb8c7%2Fb802ee2c-913d-4fa3-bd46-8ecddd44ce81%2F441qv4h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bag contains ten balls: three white and seven black. Three balls are chosen at random from the bag without replacement. Let \( X \) be the number of white balls chosen. (Round your answers to five decimal places.)
Find the distribution of \( X \) in table form:
\[
\begin{array}{|c|c|c|c|c|}
\hline
X & 0 & 1 & 2 & 3 \\
\hline
\text{Probability of } X & \text{\_\_\_\_} & \text{\_\_\_\_} & \text{\_\_\_\_} & \text{\_\_\_\_} \\
& \text{Preview} & \text{Preview} & \text{Preview} & \text{Preview} \\
\hline
\end{array}
\]
Calculate the following:
Find \( E(X) \) \(\_\_\_\_\) Preview
Find \( \sigma^2(X) \) \(\_\_\_\_\) Preview
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