Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. \[ \begin{array}{c|c} x & P(x) \\ \hline 0 & 0.3132 \\ 1 & 0.276 \\ 2 & 0.2277 \\ 3 & 0.1251 \\ 4 & 0.0319 \\ 5 & 0.0266 \\ 6+ & 0.0000 \\ \end{array} \] **Questions:** a) What is the probability that a randomly selected person has received five tickets in a three-year period? \( P(x = 5) = \) [ ] b) What is the probability that a randomly selected person has received two tickets in a three-year period? \( P(x = 2) = \) [ ] c) What is the probability that a randomly selected person has received more than three tickets in a three-year period? \( P(x > 3) = \) [ ] d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period? \( P(x \leq 2) = \) [ ] **Diagram Explanation:** The table provides a distribution of probabilities associated with the number of speeding tickets received by individuals over a three-year period. Each row indicates the number of speeding tickets \( x \) (ranging from 0 to 6+), with its corresponding probability \( P(x) \). The sums of probabilities for all \( x \) values should equal 1, indicating the complete sample space.
Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. \[ \begin{array}{c|c} x & P(x) \\ \hline 0 & 0.3132 \\ 1 & 0.276 \\ 2 & 0.2277 \\ 3 & 0.1251 \\ 4 & 0.0319 \\ 5 & 0.0266 \\ 6+ & 0.0000 \\ \end{array} \] **Questions:** a) What is the probability that a randomly selected person has received five tickets in a three-year period? \( P(x = 5) = \) [ ] b) What is the probability that a randomly selected person has received two tickets in a three-year period? \( P(x = 2) = \) [ ] c) What is the probability that a randomly selected person has received more than three tickets in a three-year period? \( P(x > 3) = \) [ ] d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period? \( P(x \leq 2) = \) [ ] **Diagram Explanation:** The table provides a distribution of probabilities associated with the number of speeding tickets received by individuals over a three-year period. Each row indicates the number of speeding tickets \( x \) (ranging from 0 to 6+), with its corresponding probability \( P(x) \). The sums of probabilities for all \( x \) values should equal 1, indicating the complete sample space.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions.
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.3132 \\
1 & 0.276 \\
2 & 0.2277 \\
3 & 0.1251 \\
4 & 0.0319 \\
5 & 0.0266 \\
6+ & 0.0000 \\
\end{array}
\]
**Questions:**
a) What is the probability that a randomly selected person has received five tickets in a three-year period?
\( P(x = 5) = \) [ ]
b) What is the probability that a randomly selected person has received two tickets in a three-year period?
\( P(x = 2) = \) [ ]
c) What is the probability that a randomly selected person has received more than three tickets in a three-year period?
\( P(x > 3) = \) [ ]
d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period?
\( P(x \leq 2) = \) [ ]
**Diagram Explanation:**
The table provides a distribution of probabilities associated with the number of speeding tickets received by individuals over a three-year period. Each row indicates the number of speeding tickets \( x \) (ranging from 0 to 6+), with its corresponding probability \( P(x) \). The sums of probabilities for all \( x \) values should equal 1, indicating the complete sample space.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3a554af-d3bd-472f-bfdf-28ef9e412b08%2F632f3fb7-b185-4c9e-af13-993de8b129c0%2F42882zl.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the random variable \( x \), shown below, represents the number of times. \( P(x) \) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions.
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.3132 \\
1 & 0.276 \\
2 & 0.2277 \\
3 & 0.1251 \\
4 & 0.0319 \\
5 & 0.0266 \\
6+ & 0.0000 \\
\end{array}
\]
**Questions:**
a) What is the probability that a randomly selected person has received five tickets in a three-year period?
\( P(x = 5) = \) [ ]
b) What is the probability that a randomly selected person has received two tickets in a three-year period?
\( P(x = 2) = \) [ ]
c) What is the probability that a randomly selected person has received more than three tickets in a three-year period?
\( P(x > 3) = \) [ ]
d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period?
\( P(x \leq 2) = \) [ ]
**Diagram Explanation:**
The table provides a distribution of probabilities associated with the number of speeding tickets received by individuals over a three-year period. Each row indicates the number of speeding tickets \( x \) (ranging from 0 to 6+), with its corresponding probability \( P(x) \). The sums of probabilities for all \( x \) values should equal 1, indicating the complete sample space.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman