Consider selecting a household at random in the rural area of a country. Define the random variable x to be x = number of individuals living in the selected household Based on information in an article, the probability distribution of x is as given below. X 3 4 5 6 7 8 9 10 1 2 p(x) 0.140 0.178 0.220 0.260 0.152 0.021 0.019 0.005 0.004 0.001 Calculate the mean value of the random variable x. Mx
Consider selecting a household at random in the rural area of a country. Define the random variable x to be x = number of individuals living in the selected household Based on information in an article, the probability distribution of x is as given below. X 3 4 5 6 7 8 9 10 1 2 p(x) 0.140 0.178 0.220 0.260 0.152 0.021 0.019 0.005 0.004 0.001 Calculate the mean value of the random variable x. Mx
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Random Variable and Probability Distribution for Rural Households**
Consider selecting a household at random in the rural area of a country. Define the random variable \( x \) to be the number of individuals living in the selected household.
Based on information in an article, the probability distribution of \( x \) is as given below:
\[
\begin{array}{c|cccccccccc}
x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
p(x) & 0.140 & 0.178 & 0.220 & 0.260 & 0.152 & 0.021 & 0.019 & 0.005 & 0.004 & 0.001 \\
\end{array}
\]
Calculate the mean value of the random variable \( x \).
\[ \mu_x = \text{[Input Box]} \]
**Explanation:**
- \( x \): Represents the number of individuals in a household.
- \( p(x) \): Probability of having \( x \) number of individuals in a household, expressed as a decimal.
- To find \( \mu_x \) (the mean), multiply each \( x \) by its probability \( p(x) \), sum all these values, and fill in the result in the input box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec13ab4f-5933-4c78-80c6-824491a34faa%2F03976837-3b52-47b7-ab74-0fa9fe266086%2Fb1zll8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Random Variable and Probability Distribution for Rural Households**
Consider selecting a household at random in the rural area of a country. Define the random variable \( x \) to be the number of individuals living in the selected household.
Based on information in an article, the probability distribution of \( x \) is as given below:
\[
\begin{array}{c|cccccccccc}
x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
p(x) & 0.140 & 0.178 & 0.220 & 0.260 & 0.152 & 0.021 & 0.019 & 0.005 & 0.004 & 0.001 \\
\end{array}
\]
Calculate the mean value of the random variable \( x \).
\[ \mu_x = \text{[Input Box]} \]
**Explanation:**
- \( x \): Represents the number of individuals in a household.
- \( p(x) \): Probability of having \( x \) number of individuals in a household, expressed as a decimal.
- To find \( \mu_x \) (the mean), multiply each \( x \) by its probability \( p(x) \), sum all these values, and fill in the result in the input box.
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