MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
Determine whether the distribution represents a probability distribution. (Please select one of the answers in the image attached.)
![**Determine Whether the Distribution Represents a Probability Distribution**
Given Values:
- \( X \): 5, 6, 7, 8
- \( P(X) \): 0.4, 1, 0.5, 0.4
**Task:**
Evaluate if the table above defines a valid probability distribution.
**Action:**
You can export the data to Excel using the "Send data to Excel" button.
**Steps for Evaluation:**
To determine if the distribution represents a probability distribution, check the following:
1. **All probabilities must be between 0 and 1:**
\[
0 \leq P(X) \leq 1
\]
2. **The sum of all probabilities must equal 1:**
\[
\sum P(X) = 1
\]
**Interactive Component:**
Use the dropdown menu to choose:
- "represents" if the table satisfies a probability distribution,
- "does not represent" if it does not satisfy the conditions.
**Next Steps:**
Proceed to the next part by clicking the "Next Part" button.
This exercise is designed to enhance understanding of probability distributions, focusing on the validation criteria.](https://content.bartleby.com/qna-images/question/2b9b7f6a-cd0d-4490-81f2-bf1728b26b7f/817ce5a4-9402-4143-8b1e-597ed12ee31a/kz50l5_processed.jpeg)
Transcribed Image Text:**Determine Whether the Distribution Represents a Probability Distribution**
Given Values:
- \( X \): 5, 6, 7, 8
- \( P(X) \): 0.4, 1, 0.5, 0.4
**Task:**
Evaluate if the table above defines a valid probability distribution.
**Action:**
You can export the data to Excel using the "Send data to Excel" button.
**Steps for Evaluation:**
To determine if the distribution represents a probability distribution, check the following:
1. **All probabilities must be between 0 and 1:**
\[
0 \leq P(X) \leq 1
\]
2. **The sum of all probabilities must equal 1:**
\[
\sum P(X) = 1
\]
**Interactive Component:**
Use the dropdown menu to choose:
- "represents" if the table satisfies a probability distribution,
- "does not represent" if it does not satisfy the conditions.
**Next Steps:**
Proceed to the next part by clicking the "Next Part" button.
This exercise is designed to enhance understanding of probability distributions, focusing on the validation criteria.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 5 images
Knowledge Booster
Similar questions
- A basketball player has a 72.5% free throw percentage. Find the probability the basketball player makes the first free throw on the fourth or fifth attempt.arrow_forwardA survey shows that the students at a particular London college carry an average of £20 in cash. Assume that you’ve just met a student at random. Answer the following questions. i. Estimate the chance that the student is carrying more than £100 ii. Estimate the chance that the student is carrying less than £80.arrow_forwardPlease do both. Thank youarrow_forward
- Find the probability that when a couple has two children, at least one of them is a girl. (Assume that boys and girls are equally likely.) The probability is that at least one of the two children is a girl. (Simplify your answer. Do not round.)arrow_forwardPlease helparrow_forwardA student response is selected at random from the results. State the exact probability the student response is from a freshman, given the student prefers to watch reality shows on television.arrow_forward
- Two dice are rolled and someone indicates that the two numbers that come up are different. Find the probability that the sum of the two numbers is 6.6. Answer:arrow_forwardPlease do not give solution in image format thankuarrow_forwardStacy has the option of selecting three books to read for a humanities course. The suggestedbook list consists of 10 biographies and five current events books. She decides to select the three books at random. Find the probability that all three books selected will be current events books. [use excel built-in function]arrow_forward
- Approximately 2 percent of Americans ages 50-60 have lung cancer. A patient with lung cancer has a 91 percent chance of a positive test. A patient without lung cancer has a 8 percent chance of a positive test (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places. Positive test result Negative test result Total Has lung cancer Does not have lung cancer Total What is the probability a patient has lung cancer given that she just had a positive test? Give answer as decimals to 4 decimal places.arrow_forwardThe random variable X represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Please show your . Thank you.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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