A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
![4)
A set of measurements is given as follows.
X = [0.1, 0.3, 0.8, 12,4, 7,9]
We want to approximate the source of this data with Gamma distribution, i.e.,
X~Gamma(a, B).
For Gamma distribution, the mean and variance can be found from the below
equations.
a
Hx
a
o =
Find the parameters of Gamma distribution to fit the data. Come up with two other
distributions that you think are good representation of this data. Justify your answer.](https://content.bartleby.com/qna-images/question/199d58c4-213a-4e42-b645-d01318acf93a/b4a3223f-3f60-47ec-bb9c-97aa469e964c/nn1c9h_processed.png)
Transcribed Image Text:4)
A set of measurements is given as follows.
X = [0.1, 0.3, 0.8, 12,4, 7,9]
We want to approximate the source of this data with Gamma distribution, i.e.,
X~Gamma(a, B).
For Gamma distribution, the mean and variance can be found from the below
equations.
a
Hx
a
o =
Find the parameters of Gamma distribution to fit the data. Come up with two other
distributions that you think are good representation of this data. Justify your answer.
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 nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Similar questions
- For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is p = 1 - 7.2 where p is the minimum percentage of scores that fall within k standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.1 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.1 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 96 percent of the scores? Note: To answer part c you will need to solve the equation for k.arrow_forwardI need you guys help with the attached.arrow_forward#23). Need help solving problem.arrow_forward
- In the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 AB 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Но: O Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.arrow_forwardHello, I need a little help trying to figure out how to get the Deviation from Mean and calculations. I would appreciate any assistance so that I can understand the lab.arrow_forwardALPHA = 0.05 Shift 1 2 3 Machine A 10 7 9 B 10 7 6 C 8 8 6 D 12 7 10 E 8 7 7 F 9 6 10 G 9 9 11 H 9 6 9 Often frequency data are tabulated according to two categories to decide if there is a relationship between categories and counts. Machine shop high tech errors are tabulated by shift and machine with significance level a. Are the machines and shifts operating consistently? Perform appropriate test.arrow_forward
- suppose the mean is 8 and 1/3 and the population variance is 6 and 8/9 and a>9 x 5 9 a frequency 3 f 2 a=? f=?arrow_forwardi was wondering if i could get help with questions a and barrow_forwardStep 2 of 3: Compute the Value of the test statistic. Round your answer to three decimal places. Step 3 of 3: Draw a conclusion and interpret the decisionarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON