Suppose that the random variable z, shown below, represents the number times. P(z) 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. 19 z| P(z) 0 0.2749 1 0.2522 2 0.2511 3 0.1494 4 0.0455 5 0.0269 6+ 0.0000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
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.

\[
\begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & 0.2749 \\
1 & 0.2522 \\
2 & 0.2511 \\
3 & 0.1494 \\
4 & 0.0455 \\
5 & 0.0269 \\
6+ & 0.0000 \\
\hline
\end{array}
\]

**Questions:**

a) What is the probability that a randomly selected person has received two tickets in a three-year period?

\[ P(x = 2) = \]

b) What is the probability that a randomly selected person has received four tickets in a three-year period?

\[ P(x = 4) = \]

c) What is the probability that a randomly selected person has received more than five tickets in a three-year period?

\[ P(x > 5) = \]

d) What is the probability that a randomly selected person has received three or fewer tickets in a three-year period?

\[ P(x \leq 3) = \]
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. \[ \begin{array}{|c|c|} \hline x & P(x) \\ \hline 0 & 0.2749 \\ 1 & 0.2522 \\ 2 & 0.2511 \\ 3 & 0.1494 \\ 4 & 0.0455 \\ 5 & 0.0269 \\ 6+ & 0.0000 \\ \hline \end{array} \] **Questions:** a) What is the probability that a randomly selected person has received two tickets in a three-year period? \[ P(x = 2) = \] b) What is the probability that a randomly selected person has received four tickets in a three-year period? \[ P(x = 4) = \] c) What is the probability that a randomly selected person has received more than five tickets in a three-year period? \[ P(x > 5) = \] d) What is the probability that a randomly selected person has received three or fewer tickets in a three-year period? \[ P(x \leq 3) = \]
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman