Let X have a gamma distribution with parameters and . Show that P(X 2)
Question:
Let X have a gamma distribution with parameters α and β. Show that P(X ≥ 2αβ) ≤ (2/e)α.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (8 reviews)
Solution The mgf for X is Mt 1 t for t 1 Assume that e...View the full answer
Answered By
Marvine Ekina
Marvine Ekina
Dedicated and experienced Academic Tutor with a proven track record for helping students to improve their academic performance. Adept at evaluating students and creating learning plans based on their strengths and weaknesses. Bringing forth a devotion to education and helping others to achieve their academic and life goals.
PERSONAL INFORMATION
Address: , ,
Nationality:
Driving License:
Hobbies: reading
SKILLS
????? Problem Solving Skills
????? Predictive Modeling
????? Customer Service Skills
????? Creative Problem Solving Skills
????? Strong Analytical Skills
????? Project Management Skills
????? Multitasking Skills
????? Leadership Skills
????? Curriculum Development
????? Excellent Communication Skills
????? SAT Prep
????? Knowledge of Educational Philosophies
????? Informal and Formal Assessments
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
Question Posted:
Students also viewed these Business questions
-
Let X have the gamma distribution with parameters > 2 and > 0. a. Prove that the mean of 1/X is /( 1). b. Prove that the variance of 1/X is 2/[( 1)2 ( 2)].
-
Let X have the gamma distribution with parameters n and 3, where n is a large integer. a. Explain why one can use the central limit theorem to approximate the distribution of X by a normal...
-
Show that the variance of a gamma distribution with parameters and is 2 .
-
C) Use the appropriate Maxwell relation and determine whether the specific heat capacity at constant pressure (Cp) is a function of pressure at onstant temperature for: i) An ideal gas ii) [6 marks]...
-
Classify each item in the following list of cash receipts and cash payments as operating, investing, or financing under IFRS. Cash Receipt or Payment ClassificationIFRS Cash payments to suppliers and...
-
The assembly shown consists of a semicylinder and a rectangular block. If the block weighs 8 lb and the semicylinder weighs 2 lb, investigate the stability when the assembly is resting in the...
-
Mesilla Valley Transport is a large trucking company. Mesilla Valley Transport uses the units-of-production (UOP) method to depreciate its trucks. In 2009, Mesilla Valley Transport acquired a Mack...
-
At the end of 20X5, Singh Inc. has four inventory items, two of which management believes should be written down. The cost and estimated NRVs of the items are as follows: Required: 1. Determine the...
-
Please compute for the following requirements and show solution in good accounting form so I can compare it with my own answer. Thank you! 1. Uncle Ben Corp. sells a product for P5 per unit. The...
-
1. Assume that both Popperson and Snow are CPAs. Do you think Snow violated his confidentiality obligation under the AICPA Code by informing Popperson about the faulty equipment at CSM? Why or why...
-
Toss two nickels and three dimes at random. Make appropriate assumptions and compute the probability that there are more heads showing on the nickels than on the dimes.
-
Compute the measures of skewness and kurtosis of the Poisson distribution with mean .
-
Determine the effect upon equilibrium price and quantity sold if the following changes occur in a particular market: a. Consumers' income increases and the good is normal. b. The price of a...
-
Consider the following: (Give your answers to four decimal places. Enter your answers as a comma-separated list.) y= x-3x-3 (a) Use a graphing utility to approximate two x-intercepts of the graph of...
-
Fabulous Fabricators needs to decide how to allocate space in its production facility this year. It is considering the following contracts Contract A B C NPV $2.02 million $1.03 million $1.49 million...
-
1.What is the definition of accounting and how does it differ from bookkeeping? 2.What are the basic principles of accounting, and how do they apply to financial reporting? 3.How is financial...
-
The profit before tax, as reported in the Statement of Profit or Loss and Other Comprehensive Income of Hawkeye Ltd for the year ended 30 June 2022, amounted to $75,000 including the following...
-
Answer the questions below regarding a decision on whether to outsource the production of units where Company A does have full capacity utilization currently. Its current budget sales are...
-
Find the general real solution to the following systems of differential equations: (a) (b) (c) (d) (e) = 4X1 + 3X2 X2 = 3X1-4X2 ,-- = 3x1-8x2 + 2x3 x2 =-u + 2x2 + 2x3 x3 = x1-4x2 + 2x3
-
(a) What do data breach notification laws require? (b) Why has this caused companies to think more about security?
-
Suppose that two fair dice (one red and one green) are rolled. Define the events A: a 1 or a 2 shows on the red die B: a 3, 4, or 5 shows on the green die C: the dice total is 4, 11, or 12 Show that...
-
A roulette wheel has thirty-six numbers colored red or black according to the pattern indicated below: Define the events A: red number appears B: even number appears C: number is less than or equal...
-
How many probability equations need to be verified to establish the mutual independence of four events?
-
Matt is a 23 year old male athlete training for a marathon. Heis also trying to lose weight. His height is 511, weight is 235lbs., usual weight is 252 lbs. He is currently doing a low-carbdiet that...
-
The Sports Equipment Division of Harrington Company is operated as a profit center. Sales for the division were budgeted for 2020 at $896,000. The only variable costs budgeted for the division were...
-
The shareholders' equity of ILP Industries includes the items shown below. The board of directors of ILP declared cash dividends of $8 million, $20 million, and $150 million in its first three years...
Study smarter with the SolutionInn App