P(x) 0.091 A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 1 0.336 0.421 3 0.152 ] A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. O D. No, the sum of all the probabilities is not equal to 1. D E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= 1.6 adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 0= | adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.
P(x) 0.091 A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 1 0.336 0.421 3 0.152 ] A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. O D. No, the sum of all the probabilities is not equal to 1. D E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= 1.6 adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 0= | adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.
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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![A sociologist randomly selects single adults for different groups of three, and the random variable \( x \) is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
**Table: Probability Distribution**
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.091 \\
1 & 0.336 \\
2 & 0.421 \\
3 & 0.152 \\
\end{array}
\]
- **A.** Yes, the table shows a probability distribution.
- **B.** No, the random variable \( x \)'s number values are not associated with probabilities.
- **C.** No, not every probability is between 0 and 1 inclusive.
- **D.** No, the sum of all the probabilities is not equal to 1.
- **E.** No, the random variable \( x \) is categorical instead of numerical.
**Find the mean of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- **A.** \( \mu = \boxed{1.6} \) adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
**Find the standard deviation of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- **A.** \( \sigma = \boxed{{}} \) adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d4281a1-138d-4154-9dd1-3fb4853cf3e0%2Fe27b8776-fcf0-4103-a69c-c3f81b75f921%2F9htfa8p_processed.png&w=3840&q=75)
Transcribed Image Text:A sociologist randomly selects single adults for different groups of three, and the random variable \( x \) is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
**Table: Probability Distribution**
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.091 \\
1 & 0.336 \\
2 & 0.421 \\
3 & 0.152 \\
\end{array}
\]
- **A.** Yes, the table shows a probability distribution.
- **B.** No, the random variable \( x \)'s number values are not associated with probabilities.
- **C.** No, not every probability is between 0 and 1 inclusive.
- **D.** No, the sum of all the probabilities is not equal to 1.
- **E.** No, the random variable \( x \) is categorical instead of numerical.
**Find the mean of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- **A.** \( \mu = \boxed{1.6} \) adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
**Find the standard deviation of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**
- **A.** \( \sigma = \boxed{{}} \) adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
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