A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if
Question:
A continuous random variable is said to have a Pareto(xm,α) distribution [15] if its PDF is given by
where xm,α > 0. Let X ∼ Pareto(xm,α).
a. Find the CDF of X, FX(x).
b. Find P(X > 3xm|X > 2xm).
c. If α > 2, find EX and V ar(X).
Transcribed Image Text:
a - {0 fx(x)= I'm x+1 for xm for xm
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
a CDF of X FXx The cumulative distribution function CDF of a continuous random variable X is defined ...View the full answer
Answered By
Pushpinder Singh
Currently, I am PhD scholar with Indian Statistical problem, working in applied statistics and real life data problems. I have done several projects in Statistics especially Time Series data analysis, Regression Techniques.
I am Master in Statistics from Indian Institute of Technology, Kanpur.
I have been teaching students for various University entrance exams and passing grades in Graduation and Post-Graduation.I have expertise in solving problems in Statistics for more than 2 years now.I am a subject expert in Statistics with Assignmentpedia.com.
4.40+
3+ Reviews
10+ Question Solved
Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
Question Posted:
Students also viewed these Business questions
-
A continuous random variable is said to have a Laplace(, b) distribution [ 14 ] if its PDF is given by
-
15. The Investment Club at Bell Labs has solicited and obtained $50,000 from its members. Collectively, the members have selected the three stocks, two bond funds, and a tax-deferred annuity shown in...
-
A continuous random variable is said to have a Rayleigh distribution with parameter if its PDF is given by where > 0. a. If X Rayleigh(), find EX. b. If X Rayleigh(), find the CDF of X,F X (x)....
-
Kamloops Company is a grocery wholesaler and is planning to expand its operations. The company has asked the bank for a loan to finance the expansion. Alphonzo, the companys manager, has prepared the...
-
Talbots made its name as a retailer of classic sportswear for women, but it has recently expanded its target market to include men and children. Men, however, typically don't enjoy shopping for...
-
How important is the proper use of color when developing websites for a global audience? Give some examples of potential pitfalls that you could run into.
-
Explain the differences between bride service, bride wealth, and dowry and the ways that societies that practice each are likely to differ.
-
Suppose that technophiles are willing to pay $400 now for the latest iPhone, but only $300 if they have to wait a year. Normal people are willing to pay $250, and their desire to purchase does not...
-
1. Simplify and write your answer with positive exponents only. (a) (3ab-3)4 18wv (b) 36tuo (c) (2x-1) (4x+3x-5) 2. Simplify the radicals as much as possible. (a) 16xy
-
Let Z N(0, 1). If we define X = e Z+ , then we say that X has a log-normal distribution with parameters and , and we write X LogNormal(, ). a. If X LogNormal(,), find the CDF of X in terms of the...
-
A continuous random variable is said to have the standard Cauchy distribution if its PDF is given by If X has a standard Cauchy distribution, show that EX is not well-defined. Also, show EX 2 = ....
-
Trey Monson starts a merchandising business on December 1 and enters into the following three inventory purchases. Also, on December 15, Monson sells 15 units for $20 each. Required Monson uses a...
-
Show me how to calculate this Before tax Cost of Debt (KD before tax) = ($36 x A.P.V.F50 R%) + ($1,000 / (1 + R%)50)
-
Finding Future Value Looking for the spending power of these amount in 45 years How much will $1,000,000.00 be worth in 2066? How much will $53,000 be worth in 2066?
-
Annual Cost Savings*(1-Discount factor^Years)/Effective Discount Rate*Discount Factor^-0.5 What formula is this?
-
If you have an estimate of a firm's current free cash flows (FFCF) and want to estimate its value as perpetuity with an expected growth rate of 3%, given that your required rate of return is 10%,...
-
How do you create an investment plan for home ownership? Explain briefly
-
The space shuttle orbiter utilizes the oxidation of methyl-hydrazine by dinitrogen tetroxide for propulsion: 4N2H3CH3(l) + 5N2O4(l) 12H2O(g) + 9N2(g) + 4CO2(g) Calculate Ho for this reaction using...
-
Briefly describe the following types of group life insurance plans: a. Group term life insurance b. Group accidental death and dismemberment insurance (AD&D) c. Group universal life insurance d....
-
Will Facebook be able to have a successful business model without invading privacy? Explain your answer. Could Facebook take any measures to make this possible?
-
Wearables have the potential to change the way organizations and workers conduct business. Discuss the implications of this statement.
-
How would a business process such as ordering a product for a customer in the field be changed if the salesperson were wearing a smartwatch equipped with Salesforce software?
-
1. What is the difference between the proportion of voting rights held and the ownership level? 2. On the consolidated income statement, what is the share of earnings in companies accounted for under...
-
Make a cash flow diagram for the following: Year 0 1 234 Cap. Cost 10,000 O&M Benefits 0 0 500 1000 1000 2000 1500 3000 2000 4000
-
The post-closing trial balance of Cullumber Corporation at December 31, 2022, contains the following stockholders' equity accounts. Preferred Stock (14,000 shares issued) Common Stock (243,000 shares...
Study smarter with the SolutionInn App