Suppose that the random variable , 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. 6 I P(x) 0.3657 0.3282 0.1731 0.0563 0.046 5 0.0307 6+ 0.0000 a) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = 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 that a randomly selected person has received more than zero tickets in a three-year period? P(x > 0) d) What is the probability that that a randomly selected person has received two or less tickets in a three- year period? P(x2) 0 1 2 3 4 G 3 口 P A
Suppose that the random variable , 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. 6 I P(x) 0.3657 0.3282 0.1731 0.0563 0.046 5 0.0307 6+ 0.0000 a) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = 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 that a randomly selected person has received more than zero tickets in a three-year period? P(x > 0) d) What is the probability that that a randomly selected person has received two or less tickets in a three- year period? P(x2) 0 1 2 3 4 G 3 口 P A
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
Related questions
Question
100%
![---
**Probability Distribution of Speeding Tickets Over a Three-Year Period**
**Scenario:**
Suppose that the random variable \( x \), shown below, represents the number of speeding tickets received. \( P(x) \) 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.
**Probability Distribution Table:**
| \( x \) | \( P(x) \) |
|--------|-------------|
| 0 | 0.3657 |
| 1 | 0.3282 |
| 2 | 0.1731 |
| 3 | 0.0563 |
| 4 | 0.046 |
| 5 | 0.0307 |
| 6+ | 0.0000 |
**Questions:**
a) What is the probability that a randomly selected person has received one ticket in a three-year period?
\[ P(x = 1) = \_\_\_\_\_ \]
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 zero tickets in a three-year period?
\[ P(x > 0) = \_\_\_\_\_ \]
d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period?
\[ P(x \leq 2) = \_\_\_\_\_ \]
---
**Explanation of Graphs or Diagrams:**
The table given above is a probability distribution table, which lists potential outcomes (number of speeding tickets) and their corresponding probabilities. For example, the table shows that the probability of receiving zero tickets is 0.3657, and the probability of receiving one ticket is 0.3282.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa28b18f-3e2d-4592-9d09-7b963ee49630%2Fab52899e-6248-4796-886a-399a83b311cb%2F76biv8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Probability Distribution of Speeding Tickets Over a Three-Year Period**
**Scenario:**
Suppose that the random variable \( x \), shown below, represents the number of speeding tickets received. \( P(x) \) 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.
**Probability Distribution Table:**
| \( x \) | \( P(x) \) |
|--------|-------------|
| 0 | 0.3657 |
| 1 | 0.3282 |
| 2 | 0.1731 |
| 3 | 0.0563 |
| 4 | 0.046 |
| 5 | 0.0307 |
| 6+ | 0.0000 |
**Questions:**
a) What is the probability that a randomly selected person has received one ticket in a three-year period?
\[ P(x = 1) = \_\_\_\_\_ \]
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 zero tickets in a three-year period?
\[ P(x > 0) = \_\_\_\_\_ \]
d) What is the probability that a randomly selected person has received two or fewer tickets in a three-year period?
\[ P(x \leq 2) = \_\_\_\_\_ \]
---
**Explanation of Graphs or Diagrams:**
The table given above is a probability distribution table, which lists potential outcomes (number of speeding tickets) and their corresponding probabilities. For example, the table shows that the probability of receiving zero tickets is 0.3657, and the probability of receiving one ticket is 0.3282.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL