MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. 6) P(x) 0 0.1296 1 0.3456 2 0.3456 3 0.1536 4 0.0256 A) µ= 1.73 B ) μ-2.00 Ομ- 160 D) µ = 1.50
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. 6) P(x) 0 0.1296 1 0.3456 2 0.3456 3 0.1536 4 0.0256 A) µ= 1.73 B ) μ-2.00 Ομ- 160 D) µ = 1.50
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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**MULTIPLE CHOICE.** Choose the one alternative that best completes the statement or answers the question.
**Find the mean of the given probability distribution.**
6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.
\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.1296 \\
1 & 0.3456 \\
2 & 0.3456 \\
3 & 0.1536 \\
4 & 0.0256 \\
\hline
\end{array}
\]
A) μ = 1.73
B) μ = 2.00
C) μ = 1.60
D) μ = 1.50
---
### Table Explanation
The table above represents the probability distribution for the number \( x \) of adults with a college degree out of four randomly selected adults. Each value \( x \) is associated with a probability \( P(x) \), indicating the likelihood of selecting that number of graduates. The probabilities sum to 1, representing the total certainty of outcomes in this experiment.
To find the mean \( \mu \) of the probability distribution, use the formula:
\[
\mu = \sum (x \cdot P(x))
\]
This will involve multiplying each \( x \) value by its corresponding probability and then summing these products.
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Transcribed Image Text:---
**MULTIPLE CHOICE.** Choose the one alternative that best completes the statement or answers the question.
**Find the mean of the given probability distribution.**
6) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.
\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.1296 \\
1 & 0.3456 \\
2 & 0.3456 \\
3 & 0.1536 \\
4 & 0.0256 \\
\hline
\end{array}
\]
A) μ = 1.73
B) μ = 2.00
C) μ = 1.60
D) μ = 1.50
---
### Table Explanation
The table above represents the probability distribution for the number \( x \) of adults with a college degree out of four randomly selected adults. Each value \( x \) is associated with a probability \( P(x) \), indicating the likelihood of selecting that number of graduates. The probabilities sum to 1, representing the total certainty of outcomes in this experiment.
To find the mean \( \mu \) of the probability distribution, use the formula:
\[
\mu = \sum (x \cdot P(x))
\]
This will involve multiplying each \( x \) value by its corresponding probability and then summing these products.
---
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