Let Z N(0, 1). If we define X = e Z+ , then we say that
Question:
Let Z ∼ N(0, 1). If we define X = eσZ+μ, then we say that X has a log-normal distribution with parameters μ and σ, and we write X ∼ LogNormal(μ, σ).
a. If X ∼ LogNormal(μ,σ), find the CDF of X in terms of the Φ function.
b. Find EX and Var(X).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a To find the cumulative distribution function CDF of X when X follows a lognormal distribution Log ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ 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
-
The following balances were extracted from the accounting records of Brakes Ltd for the financial year ended 28 February 2022: Revenue...
-
The distribution of X, the life of a transistor, in hours, is approximated by a triangular distribution as follows: (a) What is the value of a? (b) Find the expected value of the life of transistors....
-
Let X1 and X2 have independent gamma distributions with parameters α, θ and β, θ, respectively. Let W = X1/(X1 + X2). Use a method similar to that...
-
The 2017 financial statements for the Thor and Gunnar companies are summarized below. These two companies are in the same business and in the same province but in different cities. One-half of Thor?s...
-
Find some examples of retailers that demonstrate the concept of the wheel of retailing. Explain the stages they went through and are in currently.
-
Toronto-based Mercedes-Benz Canada: Fifty-five car dealers provided customer data on an ad hoc basis. No real incentive for dealers to share information with the company. How could customer...
-
Figure 11.64 presents the PFD of a process for the production of organic fibers (Smith, 2005). In the process, the organic solvent is removed from the fibers in dryer D-100 using circulated warmed...
-
Why is CVP analysis generally used as a short-run tool? Would CVP ever be appropriate as a long-run model?
-
If annual worth of the project is 5200 it's annual benefits are 5000 yearly the operating costs are 400 yearly and the project for 15 years then the salvage value 15450 (I=10%)
-
Let X 1 , X 2 , , Xn be independent random variables with Xi Exponential(). Define Y = X 1 +X 2 ++X n . As we will see later, Y has a Gamma distribution with parameters n and , i.e., Y Gamma(n,)....
-
A continuous random variable is said to have a Pareto(x m ,) distribution [ 15 ] if its PDF is given by where x m , > 0. Let X Pareto(x m ,). a. Find the CDF of X, FX(x). b. Find P(X > 3x m |X > 2x...
-
Tiffany Chen was concerned about Winner Apparels sales results from the previous season. For some products, the company had to sell about a third of the seasonal purchase at sharply discounted...
-
On an automated teller machine (ATM) belonging to USA Bank, Sven placed a card-skimming device to pull information from the magnetic strips of users debit cards. The device then transmitted the...
-
Adriana buys three $300 television sets from Gail, paying with a check. That night, one of the sets explodes. Adriana phones City Bank, the drawee, and orders a stop payment. The next day, Gail...
-
Anton, an employee of Tango Fabrication, LLC, used stolen software and blank checks to print forged company checks on his home computer. Tangos checkhandling process lacked audit controls, so Tango...
-
Xavier is paid with a check drawn on Petes account at First State Bank. The check has a forged drawers signature. Xavier indorses the check to Eve, who takes it in good faith and for value, and...
-
Aston has a checking account in Banner Bank. He writes a check on the account payable to Charlotte. When the check is presented for payment, Banner will be liable to Aston if the bank a. pays the...
-
The CAB Partnership, although operating profitably, has had a cash flow problem. Unable to meet its current commitments, the firm borrowed $34,000 from a bank giving a long-term note. During a recent...
-
Discuss whether responsible human resources management should apply different standards for the home company and suppliers, for developed countries and developing countries, and for large companies...
-
Perform an ethical analysis of Facebook. What is the ethical dilemma presented by this case?
-
What is the relationship of privacy to Facebooks business model?
-
Describe the weaknesses of Facebooks privacy policies and features. What people , organization, and technology factors have contributed to those weaknesses?
-
Baby Warehouse is a retail baby goods business located in far north QLD . Following a cyclone, its main retail premise in Cairns was damaged. The cyclone caused substantial damage to the roof and car...
-
2. Read a file which contains a maximum of 10 alphabets. Design an algorithm to print alphabets pattern based on input file. Sample Input: P Expected Output: **** * * * * ****
-
Create a graphic display with seven colors using Python Turtle Graphics. You should create to draw an circles on the Turtle Graphics screen. Modify your program so that there is an circle drawing...
Study smarter with the SolutionInn App